Worksheet for identifying horizontal and vertical cross sections of 3D shapes.

Let’s go step by step to fill in the missing 3D shapes for each row.

We are given either a horizontal or vertical cross section, and we need to figure out what 3D shape would create that slice when cut horizontally or vertically.

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Row 1: Cone

- Horizontal Cross Section → Circle (already shown)
- Vertical Cross Section → Triangle (already shown)
→ So no missing shape here. But wait — the table has “3D Shape” column on far right? Actually, looking at the layout:

The columns are:
1. 3D Shape (given name + drawing)
2. Horizontal Cross Section (drawing)
3. 3D Shape (blank — this is probably meant to be filled with the same as col 1? Or maybe it's redundant?)
Wait — actually, re-examining the table structure:

It seems like the table is set up so that for each row, you have:

- Leftmost: Name and drawing of 3D shape
- Then: Drawing of its horizontal cross section
- Then: Blank cell labeled “3D Shape” — likely just repeat the shape? But that doesn’t make sense.
Actually, looking again — perhaps the third column (“3D Shape”) is meant to be where you draw or write the 3D shape that corresponds to the cross sections shown in columns 4 and 5? No — because column 4 is “Vertical Cross Section”, column 5 is “3D Shape”.

Wait — let me reinterpret based on standard worksheets like this.

Typically, such tables show:

For each 3D shape (left), they show what its horizontal cross section looks like, then ask you to imagine or draw what the vertical cross section looks like — but here, some vertical cross sections are already drawn, and some 3D shapes are missing.

Looking at Row 2:

Given: Cylinder (left), horizontal cross section = circle (shown), then blank “3D Shape”, then vertical cross section = rectangle (shown), then blank “3D Shape”.

This suggests that the “3D Shape” columns (columns 3 and 5) are places to write/draw the 3D shape that matches the cross section shown in the adjacent column.

But that doesn’t fit either — because for row 1, cone, both cross sections are shown, and the 3D shape is already given on left.

Alternative interpretation (most logical):

The worksheet is asking: Given a 3D shape (column 1), you know its horizontal cross section (column 2). Now, for the vertical cross section (column 4), you must determine what 3D shape would produce THAT vertical cross section — and write/draw it in column 5? That doesn’t make sense either.

Wait — look at Row 3:

Left: Triangular prism
Horizontal cross section: triangle (shown)
Then blank “3D Shape”
Vertical cross section: rectangle (shown)
Then blank “3D Shape”

Ah! I think I got it.

Actually, reading the instruction: “Draw and name the 3D shapes created on slicing each 3D figure horizontally and vertically.”

So for each original 3D shape (column 1), when you slice it horizontally, you get a 2D shape (column 2). When you slice it vertically, you get another 2D shape (column 4). The “3D Shape” columns (3 and 5) are probably mislabeled — or perhaps they want you to redraw the original 3D shape there? But that seems redundant.

Alternatively — maybe the table is structured as:

Column 1: Original 3D shape
Column 2: What does horizontal slice look like? (2D shape)
Column 3: [Blank] — perhaps for student to write name of 2D shape from col 2?
Column 4: What does vertical slice look like? (2D shape)
Column 5: [Blank] — perhaps for student to write name of 2D shape from col 4?

But in the image, column 3 and 5 are labeled “3D Shape”, which is confusing.

Wait — looking at the actual drawings:

In Row 1 (cone):

- Col 2: horizontal slice = circle
- Col 4: vertical slice = triangle
- Col 3 and 5 are empty — but if they’re labeled “3D Shape”, maybe they want you to draw the 3D shape that has that cross section? But that would be circular reasoning.

Another possibility: Perhaps the worksheet is designed so that for some rows, only the cross section is given, and you have to deduce the 3D shape.

Look at Row 4:

Left: Rectangular prism
Col 2: horizontal slice = rectangle
Col 4: vertical slice = rectangle
Col 3 and 5 blank

Row 5:

Left: Square pyramid
Col 2: horizontal slice = square
Col 4: vertical slice = triangle
Col 3 and 5 blank

Now, notice that in all rows, the leftmost 3D shape is given, and the cross sections are drawn. The blank “3D Shape” columns might be errors in labeling — or perhaps they want you to write the NAME of the 2D cross section in those boxes?

That makes more sense!

Because otherwise, why label them “3D Shape” if you’re supposed to put 2D shapes?

Wait — let’s check the header:

“Draw and name the 2D shapes created on slicing each 3D figure horizontally and vertically.”

So the task is to NAME the 2D shapes resulting from the slices.

Therefore, columns 3 and 5 — even though labeled “3D Shape” — are probably meant to be where you WRITE THE NAME of the 2D cross section shown in columns 2 and 4 respectively.

That must be it. It’s a labeling error in the worksheet.

So for each row:

- Column 2 shows the horizontal cross section → you write its name in column 3
- Column 4 shows the vertical cross section → you write its name in column 5

And column 1 is the original 3D shape (already named).

Let’s verify with Row 1:

Original: cone
Horizontal slice: circle → so column 3 should say “circle”
Vertical slice: triangle → column 5 should say “triangle”

But in the image, column 3 and 5 are blank — so yes, student is to fill in the names.

Similarly, Row 2:

Cylinder
Horizontal slice: circle → column 3: “circle”
Vertical slice: rectangle → column 5: “rectangle”

Row 3:

Triangular prism
Horizontal slice: triangle → column 3: “triangle”
Vertical slice: rectangle → column 5: “rectangle”

Row 4:

Rectangular prism
Horizontal slice: rectangle → column 3: “rectangle”
Vertical slice: rectangle → column 5: “rectangle”

Row 5:

Square pyramid
Horizontal slice: square → column 3: “square”
Vertical slice: triangle → column 5: “triangle”

Perfect — this fits.

So the task is simply to name the 2D shapes shown in the cross section drawings.

No complex deduction needed — just identify the 2D shape in each slice.

Let’s list them row by row.

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Row 1: Cone

- Horizontal cross section: circle → write “circle” in column 3
- Vertical cross section: triangle → write “triangle” in column 5

Row 2: Cylinder

- Horizontal cross section: circle → “circle”
- Vertical cross section: rectangle → “rectangle”

Row 3: Triangular Prism

- Horizontal cross section: triangle → “triangle”
- Vertical cross section: rectangle → “rectangle”

Row 4: Rectangular Prism

- Horizontal cross section: rectangle → “rectangle”
- Vertical cross section: rectangle → “rectangle”

Row 5: Square Pyramid

- Horizontal cross section: square → “square”
- Vertical cross section: triangle → “triangle”

All done.

Final Answer will be the completed table with names filled in columns 3 and 5.

Since the user didn't specify format, I'll present it as a list per row.

But note: the instruction says "solve the problem accurately" — and the problem is to fill in the blanks.

So final answer is the names for each blank cell.

There are 5 rows × 2 blanks = 10 answers.

Let’s write them in order:

Row 1, col 3: circle
Row 1, col 5: triangle

Row 2, col 3: circle
Row 2, col 5: rectangle

Row 3, col 3: triangle
Row 3, col 5: rectangle

Row 4, col 3: rectangle
Row 4, col 5: rectangle

Row 5, col 3: square
Row 5, col 5: triangle

I double-checked each one against the drawings:

- Cone horizontal slice: definitely circle
- Cone vertical slice: triangle (from apex to base)
- Cylinder horizontal: circle
- Cylinder vertical: rectangle (if sliced straight down)
- Triangular prism horizontal: triangle (same as base)
- Triangular prism vertical: rectangle (slicing parallel to side faces)
- Rectangular prism both slices: rectangles
- Square pyramid horizontal: square (parallel to base)
- Square pyramid vertical: triangle (through apex and base edge)

All correct.

Final Answer:
circle, triangle, circle, rectangle, triangle, rectangle, rectangle, rectangle, square, triangle