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Find the Nets Sheet 1 - Identify the correct 2D net for each 3D shape.

Worksheet titled "Find the Nets Sheet 1" showing five 3D shapes with three corresponding 2D nets each, asking students to shade the correct net for each shape.

Worksheet titled "Find the Nets Sheet 1" showing five 3D shapes with three corresponding 2D nets each, asking students to shade the correct net for each shape.

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Show Answer Key & Explanations Step-by-step solution for: Geometry Nets Information Page
Let’s go row by row and match each 3D shape to its correct net.

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Row 1: Cube (all sides equal, 6 square faces)
We need a net that has 6 squares arranged so they can fold into a cube.
- First option: Cross-shaped with 6 squares → This is a classic cube net.
- Second: Square with 4 triangles → That’s for a pyramid.
- Third: Rectangle with 2 circles → Cylinder.
Correct net: First one (cross of squares)

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Row 2: Cylinder (two circular bases + curved side)
Net should have:
- One rectangle (for the curved surface)
- Two circles (top and bottom)
Check options:
- First: Sector + circle → Cone.
- Second: Rectangle + two circles → Perfect for cylinder.
- Third: Star-like → Not relevant.
Correct net: Second one (rectangle with two circles)

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Row 3: Rectangular Prism (like a box — 6 rectangular faces)
Needs a net with 6 rectangles arranged properly.
- First: Three rectangles in a column with two on sides → Looks like it could fold into a prism. Let’s check: yes, this is a valid net for a rectangular prism.
- Second: Cross of 6 rectangles? Wait — actually, looking again: second option is also 6 rectangles but arranged differently. Both *could* work, but we must pick the one that matches the orientation or standard form. Actually, both are possible nets for rectangular prisms — BUT let’s look at the third: square with 4 triangles → pyramid.
Wait — re-examining Row 3:
The 3D shape is a long rectangular prism (not a cube). The first net shows three rectangles stacked vertically with flaps on left/right — that would make a prism where height = 3 units, width/depth = 1 unit. Matches the drawing.
Second net: cross shape with 6 rectangles — also valid, but maybe not matching proportions? Actually, since no dimensions are given, either could be acceptable — BUT typically in these worksheets, only one is intended. Looking closely: the first net has the “side” faces attached to the middle rectangle — which matches how the prism is drawn (long front face). So first is better fit.
Actually — wait! Let me double-check standard nets. For a rectangular prism, common nets include:
- A central rectangle with four around it and one on top/bottom — like a T or cross.
But in Row 3, Option 1: vertical stack of 3 rectangles, with one rectangle attached to left and right of the middle one → total 5? No — count: top, middle, bottom = 3; plus left and right on middle = 2 more → total 5? That’s wrong! Wait — no: if you have three in a column, and then one on left and one on right of the middle, that’s 5 faces. But a prism needs 6. Oh! I miscounted. Let me recount:

Option 1 in Row 3:
It’s drawn as:
Top rectangle
Middle rectangle (with left and right rectangles attached to its sides)
Bottom rectangle
That’s 5? No — actually, when folded, the left and right become side faces, top and bottom become ends, and the middle becomes front/back? Still missing one. Hmm.

Wait — perhaps I’m overcomplicating. Let’s look at Option 2 in Row 3:
It’s a cross made of 6 rectangles: center, up, down, left, right, and one more? Standard cube/cross net has 6 arms? No — standard cross for cube has 6 squares: center, up, down, left, right, and one extra attached to one arm. In Row 3, Option 2: it’s a vertical strip of 4 rectangles, with one rectangle attached to left and right of the second from top? Let me visualize:

Actually, looking back at the image description (even though I shouldn’t describe), based on standard knowledge:

For a rectangular prism, a common net is:
[Rectangle] - [Rectangle] - [Rectangle] (front, top, back)
Then below the middle one: [Rectangle] (bottom)
And attached to left and right of the middle: [Rectangle], [Rectangle] (sides) → that’s 6.

In Row 3, Option 1: seems to be exactly that — vertical column of 3, with side flaps on the middle one → that’s 5? No — if the vertical column is front, top, back — that’s 3; side flaps are left and right — that’s 2; and the bottom is attached to... wait, in some drawings, the bottom is attached to the back. Actually, in many nets, the sixth face is attached to one end.

I think I made a mistake earlier. Let’s use elimination:

Row 3, Option 3: square with 4 triangles → definitely pyramid →

Between Option 1 and 2:
Option 2 is a "T" or cross shape with 6 rectangles — very standard for rectangular prism.
Option 1 might be incomplete or for a different shape.

Actually, upon second thought: the 3D shape in Row 3 is a rectangular prism that looks like a shoebox — longer in one dimension. The net that matches best is the one where there are two large rectangles (front/back), two medium (top/bottom), and two small (ends) — but since all are rectangles, any arrangement of 6 rectangles that folds correctly works.

But in typical school worksheets, for Row 3, the correct answer is often the second one — the cross-shaped net with 6 rectangles. Let me confirm with logic:

Cube (Row 1) used the cross of squares.
Rectangular prism should use similar but with rectangles — so Row 3, Option 2 is analogous to Row 1, Option 1 — just stretched. Yes! That makes sense.

So:
Correct net for Row 3: Second one (cross of 6 rectangles)

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Row 4: Square Pyramid (square base + 4 triangular faces)
Net should have:
- One square
- Four triangles attached to each side of the square
Look at options:
- First: square with 4 triangles → Exactly!
- Second: cross of rectangles → prism.
- Third: rectangle with side triangles → triangular prism?
Correct net: First one (square with 4 triangles)

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Row 5: Triangular Prism (two triangular bases + three rectangular sides)
Net should have:
- Two triangles
- Three rectangles connecting them
Options:
- First: hexagon with squares around → not matching.
- Second: rectangle with two triangles on opposite sides → Yes! When folded, the two triangles become the ends, and the rectangle wraps around to form the three sides? Wait — actually, for a triangular prism, the net usually has:
Triangle - Rectangle - Rectangle - Rectangle - Triangle (in a line)
OR
A central rectangle with triangles on two opposite sides, and two more rectangles attached to the other sides?

Standard net for triangular prism:
Two triangles and three rectangles. Common arrangement:
[Triangle] - [Rectangle] - [Rectangle] - [Rectangle] - [Triangle] (linear)
OR
A rectangle in the middle, with a triangle on top and bottom, and two rectangles on left and right? No — that would be too many.

Looking at Row 5, Option 2:
It’s drawn as: a central rectangle, with a triangle on left and right, and above and below are rectangles? Let’s count:
If it’s:
Top: rectangle
Middle: rectangle with left triangle and right triangle
Bottom: rectangle
That’s 3 rectangles + 2 triangles = 5 faces — but triangular prism has 5 faces: 2 triangles + 3 rectangles → yes! And when folded, the top and bottom rectangles become the other two side faces. Perfect.

Option 3: square with 4 triangles → pyramid.
Option 1: complex star-like → no.
Correct net: Second one (central rectangle with triangles on sides and rectangles above/below)

Wait — actually, in many diagrams, the net for triangular prism is shown as:
Three rectangles in a row, with a triangle attached to the top of the first and bottom of the last, or something. But in this case, Option 2 in Row 5 matches: it has two triangles and three rectangles arranged so that folding gives the prism.

Yes, confirmed.

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Now, summarizing:

Row 1 (Cube): Net 1 (cross of squares)
Row 2 (Cylinder): Net 2 (rectangle + two circles)
Row 3 (Rectangular Prism): Net 2 (cross of rectangles)
Row 4 (Square Pyramid): Net 1 (square + four triangles)
Row 5 (Triangular Prism): Net 2 (rectangle with triangles on sides and rectangles above/below)

But let’s write the positions clearly.

The grid is 5 rows × 4 columns? No — looking back: each row has the 3D shape in column 1, then three nets in columns 2,3,4.

So for each row, we choose which column (2,3, or 4) has the correct net.

Row 1:
Col2: cross of squares → correct → Column 2

Row 2:
Col3: rectangle with two circles → correct → Column 3

Row 3:
Col3: cross of rectangles → correct → Column 3

Row 4:
Col2: square with four triangles → correct → Column 2

Row 5:
Col3: the one with central rectangle, triangles on sides, rectangles above/below → correct → Column 3

Wait — in Row 5, Column 2 is the hexagon thing, Column 3 is the one I described, Column 4 is square with triangles.

Yes.

So final choices per row:

Row 1: Column 2
Row 2: Column 3
Row 3: Column 3
Row 4: Column 2
Row 5: Column 3

But the instruction is to "shade the correct net" — so we need to indicate which net in each row is correct.

Since the user didn't specify output format, but asked for final answer, I'll list the correct net position for each row.

Alternatively, since it's a worksheet, perhaps list the column number for each row.

But to be clear:

For Row 1 (cube): shade the net in the second column (the cross of squares)
For Row 2 (cylinder): shade the net in the third column (rectangle with two circles)
For Row 3 (rectangular prism): shade the net in the third column (cross of rectangles)
For Row 4 (square pyramid): shade the net in the second column (square with four triangles)
For Row 5 (triangular prism): shade the net in the third column (the one with two triangles and three rectangles arranged appropriately)

Now, to present the final answer neatly.

Final Answer:
Row 1: Column 2
Row 2: Column 3
Row 3: Column 3
Row 4: Column 2
Row 5: Column 3
Parent Tip: Review the logic above to help your child master the concept of polyhedron nets worksheet.
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