Nets of solids worksheet - Free Printable

Let’s go step by step to match each solid with its correct net and fill in the missing measurements.

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Problem 1: Rectangular Prism (Box)

Solid dimensions:
- Length = 8 cm
- Width = 6 cm
- Height = 5 cm

A rectangular prism has 6 faces:
- Two faces are 8 cm × 6 cm (top and bottom)
- Two faces are 8 cm × 5 cm (front and back)
- Two faces are 6 cm × 5 cm (left and right sides)

Looking at the net:

Top row: three rectangles side by side.
- Left rectangle: height is labeled “6 cm” → this must be the 6 cm × 5 cm face? Wait — let’s think differently.

Actually, in nets, we need to see how they fold.

The central column has four rectangles stacked vertically:
- Top one: labeled “5 cm” on left, “8 cm” on top → so this is 8 cm wide and 5 cm tall → that’s front/back face.
- Below it: blank → should be same width (8 cm), but height? The next one down is also blank, then another.

Wait — better approach: look at the side flaps.

On the left of the central column: a rectangle with height “6 cm” → this must attach to the 6 cm edge of the solid. So if the central rectangle is 8 cm × 5 cm, then the flap attached to its side must be 6 cm high → meaning the depth is 6 cm.

So the solid is 8 cm (length) × 6 cm (width/depth) × 5 cm (height).

Now, in the net:

Central vertical strip:
- Top rectangle: 8 cm (width) × 5 cm (height) → front face
- Next down: should be bottom face → 8 cm × 6 cm? But wait — no, when folding, the adjacent faces share edges.

Actually, standard net for rectangular prism: often has a cross shape or T-shape.

In this net:

There’s a central column of 4 rectangles:
- From top to bottom:
- First: 8 cm × 5 cm (front)
- Second: ? × ? → probably 8 cm × 6 cm (bottom)
- Third: 8 cm × 5 cm (back)
- Fourth: 8 cm × 6 cm (top)? That doesn’t make sense — top and bottom should both be 8×6.

Wait — maybe the central column is: front, bottom, back, top? Then the side flaps are left and right.

Left flap: attached to front face’s left edge → which is 5 cm high → but the flap is labeled “6 cm” on the side → contradiction?

Let me reorient.

Look at the solid: it’s drawn with length 8 cm (front-bottom edge), width 6 cm (side-bottom edge), height 5 cm (vertical edge).

In the net:

The large central rectangle in the middle of the cross is labeled “8 cm” horizontally and “5 cm” vertically → so that’s the front face: 8 cm wide, 5 cm tall.

Above it: a rectangle that shares the 8 cm edge → so it must be the top face → which should be 8 cm × 6 cm → so the vertical dimension of that top rectangle should be 6 cm. But in the diagram, above the 8x5 rectangle, there’s a rectangle with “___ cm” on top and “6 cm” on the left side? Wait, the label “6 cm” is on the left side of the entire left flap.

Actually, looking again:

The net has:

- A horizontal row of three rectangles at the top: left, center, right.
- Below the center one, three more rectangles stacked vertically.

Labeling:

Leftmost top rectangle: has “6 cm” written vertically on its left side → so its height is 6 cm. Its width is blank.

Center top rectangle: has “___ cm” on top, and below it is connected to a rectangle labeled “5 cm” on left and “8 cm” on top.

This is confusing. Let me try to map based on matching edges.

When you fold the net, adjacent rectangles share an edge of equal length.

Start from the solid: all faces are rectangles with pairs:

Faces:
- Front & Back: 8 cm × 5 cm
- Left & Right: 6 cm × 5 cm
- Top & Bottom: 8 cm × 6 cm

In the net provided for #1:

There is a central rectangle that is 8 cm wide and 5 cm tall → that’s front face.

Attached to its top: a rectangle that must be the top face → so it should be 8 cm wide and 6 cm tall → so the blank above it should be 6 cm? But the label “6 cm” is on the left side of the left flap.

Perhaps the “6 cm” on the left is the height of the left flap, which is attached to the left side of the front face. The left side of front face is 5 cm tall, so the flap attached to it should have height 5 cm, not 6 cm. Contradiction.

Unless... the "6 cm" is the width of the left flap.

Let's read the labels carefully as placed.

In the net for #1:

- On the far left, there is a rectangle. To its left, it says "6 cm" — this likely means the height of that rectangle is 6 cm.
- Above the central part, there is a rectangle with a blank on top and "cm" — so we need to fill the width.
- In the central column, the second rectangle from top has "5 cm" on left and "8 cm" on top — so this rectangle is 8 cm wide and 5 cm tall.
- Below that, two more rectangles, each with blanks for width and height labels on the right.

Also, on the right side, there are labels: "___ cm" for the top-right rectangle's height, and "___ cm" for the middle-right, etc.

Perhaps it's better to assume that the net is arranged such that the central vertical strip represents the front, bottom, back, top faces, and the side flaps are left and right.

But let's count the faces.

Another way: in a rectangular prism net, opposite faces are identical and not adjacent in the net usually.

For problem 1, the solid has dimensions 8, 6, 5.

In the net, we can see that some rectangles are labeled with 8 cm and 5 cm, so those are fixed.

The rectangle that is 8 cm by 5 cm is given.

The rectangle attached to its top must share the 8 cm edge, so it is 8 cm by X, where X is the depth, which is 6 cm. So the top rectangle should be 8 cm by 6 cm. So the blank above the 8 cm label should be 6 cm? But the label is on the top edge, so it's the width, which is already 8 cm? I'm getting confused.

Let's look at the positions.

In the net for #1:

- There is a rectangle in the very center of the cross: it has "8 cm" written on its top edge and "5 cm" on its left edge. So this rectangle is 8 cm wide and 5 cm tall. This is the front face.

- Attached to the top of this rectangle is another rectangle. They share the 8 cm edge. So this top rectangle must have width 8 cm, and its height is the depth of the prism, which is 6 cm. So the blank on the top edge of this top rectangle should be 8 cm (but it's already implied), and the height is 6 cm, but there's no label for height there; instead, on the left side of the left flap, it says "6 cm", which might be related.

Perhaps the "6 cm" on the left is the height of the left flap, which is attached to the left side of the front face. The left side of the front face is 5 cm tall, so the left flap should be 5 cm tall, but it's labeled 6 cm — that doesn't match.

Unless the "6 cm" is the width of the left flap.

Let's interpret the labels as follows:

- When a dimension is written next to a line, it indicates the length of that line segment.

In the net for #1:

- On the leftmost rectangle, on its left side, it says "6 cm" — so the height of that rectangle is 6 cm.

- This left rectangle is attached to the left side of the central-top rectangle? No, looking at the layout:

The net has:

Row 1: three rectangles side by side: let's call them A (left), B (center), C (right)

Below B, there are three rectangles stacked: D (below B), E (below D), F (below E)

So it's like a plus sign but with extra below.

Standard net for rectangular prism can be: a row of four for the sides, and top and bottom attached to the second and third.

But here, it's different.

From the solid, we know the three dimensions are 8, 6, 5.

In the net, the rectangle that is labeled with 8 cm and 5 cm is clearly 8x5.

The rectangle attached to its top must be 8x6 (since it shares the 8 cm edge, and the other dimension is the depth 6 cm).

So for rectangle B (the center-top one), it is attached to D below it. Rectangle D is labeled with "5 cm" on left and "8 cm" on top — so D is 8 cm wide and 5 cm tall. That would be the front face.

Then above D is B, which shares the 8 cm edge, so B is 8 cm wide, and its height should be 6 cm (the depth). So the blank on the top edge of B should be 8 cm (redundant), but there's a blank for the width of B? The label is "___ cm" on the top of B, which is the width, so it should be 8 cm, but that's already known.

Perhaps the blank is for the height, but it's written on the top edge, which usually denotes width.

I think there's a mistake in my interpretation.

Let's look at the answer choices or think logically.

For the left flap (rectangle A): it is attached to the left side of rectangle B. Rectangle B is above D. If D is the front face (8x5), then B is the top face (8x6), so the left side of B is 6 cm long (since B is 8x6, so height 6 cm). Therefore, the left flap A, attached to the left side of B, should have height 6 cm, which matches the "6 cm" label on its left side. And its width should be the height of the prism, which is 5 cm, because when folded, it becomes the left face, which is 6 cm (depth) by 5 cm (height)? No.

If B is the top face, 8 cm (length) by 6 cm (width/depth), then its left edge is 6 cm long. The left flap A is attached to that edge, so A has height 6 cm. When folded, A will be the left face of the prism, which should be width 6 cm by height 5 cm. But if A has height 6 cm, then its width must be 5 cm to be the left face.

Yes! So rectangle A (left flap) has height 6 cm (as labeled), and width should be 5 cm. But in the diagram, there is a blank on the bottom of A or something? Let's see the labels.

In the net, for rectangle A (leftmost top), on its left side: "6 cm" — so height = 6 cm.

On its bottom edge, there is a blank with "___ cm" — this is likely the width of A, which should be 5 cm, since it's the left face: 6 cm (depth) by 5 cm (height), but when attached, the shared edge is the 6 cm edge, so the other dimension is 5 cm.

Similarly, for the right flap C: it is attached to the right side of B. B is 8x6, so right edge is 6 cm long. C should be the right face, 6 cm by 5 cm, so its height is 6 cm, and width is 5 cm. In the diagram, on the right side of C, there is "___ cm" — this is probably the height, but it's on the right side, so likely the height of C, which should be 6 cm, but that's already known from B. Or perhaps it's the width.

To avoid confusion, let's list all rectangles in the net for #1:

- Rectangle A (top-left): attached to left of B. Dimensions: height = 6 cm (given), width = ? → should be 5 cm (since it's the left face: depth 6 cm, height 5 cm, but when unfolded, the dimension perpendicular to the attachment is the height of the prism).

When you attach a flap to an edge, the flap's size is determined by the face it represents.

For the left face of the prism: it is 6 cm (width/depth) by 5 cm (height). In the net, if it's attached to the top face's left edge, and the top face is 8 cm by 6 cm, then the left edge of top face is 6 cm, so the left flap is attached along that 6 cm edge, so the flap has one side 6 cm (shared), and the other side is the height of the prism, 5 cm. So the left flap is 6 cm by 5 cm, with the 6 cm side attached.

In the diagram, for rectangle A, the "6 cm" is written on the left side, which is the height, so if height is 6 cm, then the width (horizontal) should be 5 cm. And there is a blank on the bottom of A or on the right? In the diagram, below A, there is a blank with "___ cm" — this is likely the width of A, so it should be 5 cm.

Similarly, for rectangle C (top-right): attached to right of B. B is 8x6, so right edge is 6 cm. C is the right face, 6 cm by 5 cm, so its height is 6 cm, width is 5 cm. In the diagram, on the right side of C, there is "___ cm" — this is probably the height, but it's redundant, or perhaps it's for the width. Actually, in the diagram, for C, on its right side, it says "___ cm", and since it's on the side, it might be the height, but we know it's 6 cm, so perhaps it's a different label.

Let's look at the central column.

Rectangle D: below B, labeled "5 cm" on left and "8 cm" on top — so D is 8 cm wide, 5 cm tall — this is the front face.

Rectangle E: below D — this should be the bottom face. It shares the 8 cm edge with D, so it is 8 cm wide, and its height should be the depth, 6 cm. So E is 8 cm by 6 cm. In the diagram, on the right side of E, there is "___ cm" — this is likely the height of E, so 6 cm.

Rectangle F: below E — this should be the back face, same as front, 8 cm by 5 cm. So height 5 cm. On the right side of F, "___ cm" — should be 5 cm.

Also, for rectangle B (above D): it is the top face, 8 cm by 6 cm. So its height is 6 cm. In the diagram, on the top of B, there is "___ cm" — this is the width, which is 8 cm, but that's already known, or perhaps it's for the height, but it's written on the top edge.

I think the blanks are for the missing dimensions, and we need to fill them based on the solid.

For rectangle B (center-top): it is between A and C horizontally, and above D vertically. Since D is 8x5, and B shares the 8 cm edge with D, B is 8 cm wide. The height of B is the depth of the prism, 6 cm. But in the diagram, the "6 cm" is already used for the left flap's height, which is consistent.

The blank on the top of B is probably for the width, which is 8 cm, but that seems redundant. Perhaps it's a mistake, or perhaps it's for something else.

Let's list all blanks in net #1:

1. On the top edge of rectangle B (center-top): "___ cm" — this is the width of B, which is 8 cm (same as D's width).

2. On the bottom edge of rectangle A (left-top): "___ cm" — this is the width of A, which should be 5 cm (since A is the left face, 6 cm high, 5 cm wide).

3. On the right edge of rectangle C (right-top): "___ cm" — this is the height of C, but C is attached to B's right edge, which is 6 cm, so C's height is 6 cm, but that's already known, or perhaps it's the width. In the diagram, for C, on its right side, it says "___ cm", and since it's on the side, it might be the height, but we can assume it's the dimension perpendicular.

To simplify, let's use the fact that opposite faces are equal.

From the solid, we have:

- Two faces 8x5: front and back
- Two faces 8x6: top and bottom
- Two faces 6x5: left and right

In the net:

- Rectangle D: 8x5 (front)
- Rectangle F: below E, should be back, 8x5
- Rectangle B: above D, should be top, 8x6
- Rectangle E: below D, should be bottom, 8x6
- Rectangle A: left of B, should be left face, 6x5 — but since attached to B's left edge (6 cm), so A is 6 cm high, 5 cm wide
- Rectangle C: right of B, should be right face, 6x5 — 6 cm high, 5 cm wide

Now, the blanks:

- For rectangle B: on its top edge, "___ cm" — this is the width, which is 8 cm. But perhaps it's not needed, or maybe it's for confirmation.

In the diagram, the blank on top of B is likely for the width, so 8 cm.

But let's see the other blanks.

- For rectangle A: on its bottom edge, "___ cm" — this is the width of A, which is 5 cm.

- For rectangle C: on its right edge, "___ cm" — this is the height of C, but since C is 6 cm high (same as B's height), and the label is on the right side, it might be intended for the height, so 6 cm, but that's already known. Perhaps it's for the width, but typically side labels are for height.

To resolve, let's look at the right-side labels for the lower rectangles.

For rectangle E (middle of central column): on its right side, "___ cm" — this should be the height of E, which is 6 cm (since E is bottom face, 8x6).

For rectangle F (bottom of central column): on its right side, "___ cm" — height should be 5 cm (back face, 8x5).

Also, for rectangle C, on its right side, "___ cm" — if C is the right face, and it's oriented with height vertical, then its height is 6 cm, so the blank should be 6 cm.

But in the solid, the right face is 6 cm by 5 cm, and if in the net it's attached with the 6 cm edge, then its other dimension is 5 cm, but the height in the net might be 6 cm.

I think for consistency, in the net, the dimension written on the side is the height of that rectangle.

So for rectangle A: left side has "6 cm" — so height = 6 cm. Then the blank on its bottom is the width, which is 5 cm.

For rectangle C: right side has "___ cm" — this is the height, which should be 6 cm (same as A, since both are side faces attached to top face).

For rectangle E: right side has "___ cm" — height of E, which is 6 cm (bottom face).

For rectangle F: right side has "___ cm" — height of F, which is 5 cm (back face).

For rectangle B: top edge has "___ cm" — this is the width, which is 8 cm.

And for rectangle D, it's given as 8 cm wide and 5 cm tall.

So let's fill:

- Blank on top of B: 8 cm (width)
- Blank on bottom of A: 5 cm (width of left face)
- Blank on right of C: 6 cm (height of right face)
- Blank on right of E: 6 cm (height of bottom face)
- Blank on right of F: 5 cm (height of back face)

But in the diagram, for E and F, the blanks are on the right side, and for C also on the right side.

Also, is there a blank for the width of C? In the diagram, for C, only the right side has a blank, no bottom blank mentioned.

Similarly for A, only bottom blank.

So for net #1, the blanks are:

- Top of B: 8 cm
- Bottom of A: 5 cm
- Right of C: 6 cm
- Right of E: 6 cm
- Right of F: 5 cm

But let's confirm with the solid.

Solid: 8 cm (length), 6 cm (width), 5 cm (height)

Net:

- B: top face, 8x6 — so width 8 cm, height 6 cm — blank on top is width, so 8 cm
- A: left face, attached to left of B, so shares the 6 cm edge, so A is 6 cm high, and its width is the height of prism, 5 cm — so bottom blank for A is 5 cm
- C: right face, similarly, 6 cm high, 5 cm wide — but the blank is on the right side, which is the height, so 6 cm
- D: front face, 8x5 — given
- E: bottom face, attached to bottom of D, shares 8 cm edge, so E is 8 cm wide, height is width of prism, 6 cm — so right blank for E is 6 cm
- F: back face, attached to bottom of E, shares 8 cm edge, so F is 8 cm wide, height 5 cm — right blank for F is 5 cm

Yes.

So for net #1, the missing values are:

- Above the 8 cm label in the center-top rectangle: 8 cm (but it's the same, so perhaps it's to confirm)
In the diagram, the blank is on the top edge of the rectangle that has "5 cm" on left and "8 cm" on top — that rectangle is D, but D is already labeled. Let's read the diagram description again.

In the user's image description for net #1:

"6 cm" on left of left flap

"___ cm" on top of the center-top rectangle (which is B)

"5 cm" on left of the rectangle below B (which is D)

"8 cm" on top of D

Then below D, two more rectangles, each with "___ cm" on their right side

Also, on the right of the right-top rectangle (C), "___ cm"

So specifically:

- Blank 1: on top of B (center-top rectangle) — this is the width of B, which is 8 cm

- Blank 2: on bottom of A (left-top rectangle) — this is the width of A, which is 5 cm

- Blank 3: on right of C (right-top rectangle) — this is the height of C, which is 6 cm

- Blank 4: on right of E (first below D) — height of E, 6 cm

- Blank 5: on right of F (second below D) — height of F, 5 cm

So values: 8, 5, 6, 6, 5

But let's write them in order as per the diagram.

Typically, we fill from top to bottom, left to right.

So for net #1:

- The blank on the top edge of the center-top rectangle: 8 cm

- The blank on the bottom edge of the left-top rectangle: 5 cm

- The blank on the right edge of the right-top rectangle: 6 cm

- The blank on the right edge of the first rectangle below the center (E): 6 cm

- The blank on the right edge of the second rectangle below (F): 5 cm

Yes.

Now, problem 2: Triangular Prism

Solid: triangular base with sides 5 cm, 5 cm, 4 cm, and length 7 cm.

So it's a triangular prism with isosceles triangle base: two sides 5 cm, base 4 cm, and the prism length is 7 cm.

Faces:
- Two triangular bases: each is triangle with sides 5,5,4 cm
- Three rectangular lateral faces:
- One rectangle 4 cm by 7 cm (attached to the base of the triangle)
- Two rectangles 5 cm by 7 cm (attached to the equal sides)

Net for #2:

It shows a central rectangle with triangles on top and bottom.

Central rectangle: has "7 cm" on its right side — so height is 7 cm? Or width?

In the diagram:

- Central rectangle: on its right side, "7 cm" — so if it's vertical, height is 7 cm.

- On its top, there is a triangle attached. The triangle has "5 cm" on its left side and "5 cm" on its right side? Let's see.

Description: "5 cm" on left of the triangle's left side, and "5 cm" on the dashed line inside the triangle, which is the height? No.

In the net:

- There is a triangle at the top. On its left side, "5 cm" — so one side of the triangle is 5 cm.

- Inside the triangle, a dashed line from apex to base, labeled "5 cm" — but that can't be, because in the solid, the triangle has sides 5,5,4, so the height is not 5 cm.

In the solid for #2: the triangular face has base 4 cm, and two equal sides 5 cm each. The height of the triangle can be calculated, but in the net, it's shown with a dashed line labeled "5 cm" — that must be a mistake, or perhaps it's the side.

Let's read: "5 cm" on the left side of the triangle, and "5 cm" on the dashed line — but in the solid, the sides are 5 cm, so the dashed line might be indicating the side, but it's dashed, so perhaps it's the height.

In the solid diagram for #2: it shows a triangular prism with the triangular face having base 4 cm, and the two slanted sides 5 cm each, and the length of the prism is 7 cm. Also, there is a dashed line from the apex to the base, labeled "5 cm" — but that can't be the height because for a triangle with sides 5,5,4, the height h satisfies h^2 + 2^2 = 5^2, so h^2 = 25-4=21, h=√21≈4.58 cm, not 5 cm. So probably the "5 cm" on the dashed line is a label for the side, but it's misplaced.

In the net, for the triangle, it has "5 cm" on the left side, and "5 cm" on the dashed line — likely, the dashed line is meant to be the side, but in standard notation, dashed lines are for hidden edges, but in nets, it's flat.

Perhaps in the net, the triangle is shown with its sides, and the "5 cm" on the dashed line is actually the length of the side, but it's drawn as dashed for some reason.

To avoid confusion, let's use the solid dimensions.

Triangular prism:
- Triangular bases: equilateral? No, isosceles with sides 5,5,4 cm.
- Rectangular faces:
- Rectangle 1: 4 cm (base) by 7 cm (length)
- Rectangle 2: 5 cm (side) by 7 cm (length)
- Rectangle 3: 5 cm (side) by 7 cm (length)

In the net for #2:

- There is a central rectangle. On its right side, "7 cm" — so this rectangle has height 7 cm. Its width is blank.

- Attached to the top of this central rectangle is a triangle. The triangle has "5 cm" on its left side, and "5 cm" on the dashed line — likely, the dashed line is the height of the triangle, but as calculated, it should be √21, not 5. Perhaps in this context, the "5 cm" on the dashed line is a label for the side, and it's not the height.

In the solid, the triangular face has sides 5 cm, 5 cm, 4 cm, so in the net, the triangle should have those side lengths.

In the net, the triangle is attached to the top of the central rectangle. The base of the triangle is attached to the top edge of the central rectangle. So the length of the base of the triangle should equal the width of the central rectangle.

In the solid, the base of the triangle is 4 cm, so the central rectangle's width should be 4 cm, and it is attached to the 4 cm side of the triangle.

Then the two other rectangular faces are attached to the 5 cm sides of the triangle.

In the net, besides the central rectangle and the top triangle, there is a bottom triangle, and on the left and right, there are rectangles.

Specifically:

- Central rectangle: let's call it R_center. It has "7 cm" on its right side — so if we assume it's oriented with height vertical, then height = 7 cm. Its width is blank — this should be the length of the edge it's attached to, which is the base of the triangle, 4 cm. So width = 4 cm.

- Attached to top of R_center: triangle T_top. It has "5 cm" on its left side — so one side is 5 cm. The base is attached to R_center, so base = 4 cm. The other side should be 5 cm. In the diagram, there is "5 cm" on the dashed line — probably this is the other side, so it's 5 cm.

- Attached to bottom of R_center: triangle T_bottom, similar, with base 4 cm, sides 5 cm.

- On the left of R_center: a rectangle R_left. It is attached to the left side of R_center. R_center has height 7 cm, so R_left has height 7 cm. Its width is blank — this should be the length of the edge it's attached to, which is the side of the triangle, 5 cm. So width = 5 cm.

- On the right of R_center: a rectangle R_right. Similarly, attached to right side of R_center, so height 7 cm, width should be 5 cm (since the other side of the triangle is 5 cm).

In the diagram, for R_left, on its left side, "___ cm" — this is the width of R_left, so 5 cm.

For R_right, on its right side, "___ cm" — width of R_right, 5 cm.

Also, for the triangles, on the top triangle, on its right side, "___ cm" — this should be the length of the right side of the triangle, which is 5 cm.

In the diagram, for the top triangle, on its right side, there is "___ cm", and since the left side is labeled "5 cm", and it's isosceles, the right side should also be 5 cm.

Additionally, for the central rectangle, on its top edge, there is "___ cm" — this is the width, which is 4 cm (base of triangle).

On its bottom edge, "___ cm" — also 4 cm, but probably not labeled, or in the diagram, only top has blank.

Let's list the blanks in net #2:

- On the left side of the left rectangle (R_left): "___ cm" — this is the width of R_left, which is 5 cm (since it's attached to the 5 cm side of the triangle, and height is 7 cm).

- On the top edge of the central rectangle (R_center): "___ cm" — this is the width of R_center, which is 4 cm (base of triangle).

- On the right side of the right rectangle (R_right): "___ cm" — width of R_right, 5 cm.

- On the right side of the top triangle: "___ cm" — this is the length of the right side of the triangle, 5 cm.

Also, for the bottom triangle, no blanks mentioned, or perhaps symmetric.

In the diagram description: "5 cm" on left of top triangle, "5 cm" on dashed line (which might be the height or the side), and "___ cm" on right of top triangle.

So likely, the blank on the right of the top triangle is for the right side, 5 cm.

And for the central rectangle, top edge blank: 4 cm.

For R_left, left side blank: 5 cm.

For R_right, right side blank: 5 cm.

So values: 5, 4, 5, 5

Order: probably left to right, top to bottom.

So:
- Left of R_left: 5 cm
- Top of R_center: 4 cm
- Right of R_right: 5 cm
- Right of top triangle: 5 cm

Yes.

Now, problem 3: Cube

Solid: cube with side 3 cm.

All faces are 3 cm × 3 cm squares.

Net for #3:

It shows a cross-like shape with squares.

Specifically:

- A row of four squares horizontally.

- Above the third square from left, a square attached.

- Below the third square, a square attached.

So it's like a plus sign but with an extra on the left.

Labels:

- On the leftmost square, on its left side, "3 cm" — so height is 3 cm.

- On the top of the first square (leftmost), "___ cm" — width, should be 3 cm.

- On the top of the third square, "___ cm" — width, 3 cm.

- On the right of the fourth square, "3 cm" — height, 3 cm.

- On the bottom of the fourth square, "___ cm" — width, 3 cm.

- On the bottom of the square below the third, "3 cm" — height, 3 cm.

Since it's a cube, all squares are 3 cm by 3 cm.

So all blanks should be 3 cm.

List the blanks:

- On top of first square (leftmost): "___ cm" — width, 3 cm

- On top of third square: "___ cm" — width, 3 cm

- On bottom of fourth square: "___ cm" — width, 3 cm

Also, is there any other? In the diagram, for the square above the third, no blank mentioned, similarly for below.

So three blanks: all 3 cm.

Now, to summarize:

For net #1:
- Blank on top of center-top rectangle: 8 cm
- Blank on bottom of left-top rectangle: 5 cm
- Blank on right of right-top rectangle: 6 cm
- Blank on right of first below center: 6 cm
- Blank on right of second below center: 5 cm

For net #2:
- Blank on left of left rectangle: 5 cm
- Blank on top of central rectangle: 4 cm
- Blank on right of right rectangle: 5 cm
- Blank on right of top triangle: 5 cm

For net #3:
- Blank on top of first square: 3 cm
- Blank on top of third square: 3 cm
- Blank on bottom of fourth square: 3 cm

Now, to present the final answer, we need to fill in the blanks as per the diagram.

Since the user will see the image, we can list the values in order.

But to be precise, let's assume the blanks are to be filled in the positions as described.

For the response, we can say:

For problem 1, the missing measurements are: 8 cm, 5 cm, 6 cm, 6 cm, 5 cm (in the order they appear in the net from top to bottom, left to right).

Similarly for others.

But to match the format, perhaps list them per net.

Since the instruction is to provide the final answer after reasoning, and the answer is the filled values, we can box them.

But it's multiple values.

Perhaps for each net, list the values.

Given that, I'll compile the answers.

Final Answer:

For Net 1: The missing dimensions are 8 cm, 5 cm, 6 cm, 6 cm, and 5 cm.

For Net 2: The missing dimensions are 5 cm, 4 cm, 5 cm, and 5 cm.

For Net 3: The missing dimensions are 3 cm, 3 cm, and 3 cm.

To be more specific, but I think this is sufficient.

Since the problem is to fill in the blanks, and there are several, we can state them.

But in the context, perhaps the expected answer is to recognize the correspondence.

I think for the purpose, we'll provide the values.

So:

Final Answer:

Net 1 blanks: 8, 5, 6, 6, 5 (all in cm)

Net 2 blanks: 5, 4, 5, 5 (all in cm)

Net 3 blanks: 3, 3, 3 (all in cm)

To write it neatly.