Composing 3D Shapes Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, based on the title and structure of the worksheet you've described — "Decomposing Shapes" — and the layout with 5 composite figures and sets of 3D shapes to choose from — I can guide you through how to solve this type of problem.

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🔍 Understanding the Task:

The goal is to identify which 3D shapes make up each composite figure (a shape made by combining simpler 3D shapes). You are to color the 3D shapes that match the components of each composite figure.

Each row has:
- A composite figure (on the left).
- A set of individual 3D shapes (on the right) — one or more of these are parts of the composite figure.

You must determine which individual shapes, when combined, form the composite figure.

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✔ How to Solve Each Problem:

Let’s go through each numbered item (1–5) and explain what to look for.

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#### 1) Composite Figure: Cube with a Pyramid on Top

- This looks like a cube with a pyramid (likely a square pyramid) sitting on top.
- So, the correct shapes to color are:
- Cube
- Square pyramid

✔ Color: The cube and the pyramid.

> Note: Make sure the pyramid has a square base (matches the top of the cube).

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#### 2) Composite Figure: L-shaped Block

- This appears to be two rectangular prisms joined together at a right angle.
- It's an L-shaped prism, formed by two rectangular prisms (boxes).

✔ Color: Two rectangular prisms (the blocky box-like shapes).

> Tip: Look for the same shape repeated twice — both are rectangular prisms.

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#### 3) Composite Figure: Rectangular Prism with Two Pyramids on Top

- A flat rectangular base with two pyramids placed side by side on top.
- Likely triangular pyramids (tetrahedrons) or square pyramids depending on the base.

But if they're pointing upward from the rectangle and have triangular faces, they’re probably triangular pyramids.

✔ Color: One rectangular prism, and two triangular pyramids.

> If the pyramids have square bases, then it's two square pyramids.

Check carefully: Are the pyramids attached to the top edges? Then likely triangular pyramids.

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#### 4) Composite Figure: Cylinder on Top of a Rectangular Prism

- Bottom: a rectangular prism (box)
- Top: a cylinder (round, vertical)

✔ Color: One rectangular prism, one cylinder

> Don’t confuse cylinder with cone — a cylinder has two flat circular ends, while a cone has one pointy tip.

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#### 5) Composite Figure: Pyramid on Top of a Cube, with a Cone on Top of That

Wait — let's analyze carefully.

Looking at typical versions of this worksheet:
- Often, it's a cube with a pyramid on top, and another smaller pyramid or cone on top of that?

But based on common designs:

Possibility: A cube with a square pyramid on top, and possibly a cone added?

Alternatively, maybe just a cube + pyramid, but the options include a cone.

Wait — let’s assume the figure shows:
- A cube
- A pyramid on top
- And a cone on top of the pyramid?

That would be unusual unless specified.

But more commonly:
- It’s a cube with a pyramid on top → so only cube + pyramid

But since the options include a cone, perhaps the top is a cone, not a pyramid?

So check:
- Is the top shape pointed with a circular base? → then it's a cone
- Or is it pointed with a square base? → then it's a pyramid

If the top is pointed and round, it’s a cone.

So:
- Bottom: rectangular prism (cube)
- Middle: pyramid?
- Top: cone?

But again, without seeing the image, here’s the most likely case:

👉 Composite Figure: Cube with a Cone on Top

Then:
✔ Color: Cube and Cone

Or if it’s a pyramid, then:
✔ Color: Cube and Pyramid

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🎯 Final Tips:

- Match the number of parts: Count how many distinct shapes make up the composite figure.
- Check bases: Does the pyramid sit on a square? Then it’s a square pyramid.
- Check curved surfaces: Cylinders and cones have curved sides; others are flat.
- No extra shapes: Only color the ones that are actually used.

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✔ Summary of Answers (Likely):

| # | Composite Figure | Shapes to Color |
|---|------------------|-----------------|
| 1 | Cube + Pyramid | Cube, Pyramid |
| 2 | L-shape | Two Rectangular Prisms |
| 3 | Box + Two Pyramids | Rectangular Prism, Two Pyramids |
| 4 | Box + Cylinder | Rectangular Prism, Cylinder |
| 5 | Box + Pyramid | Cube, Pyramid |

> If #5 includes a cone, then cube + cone instead.

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💡 Advice:

- Use a ruler or trace the shapes to compare.
- Look for matching bases (e.g., square base matches cube or square pyramid).
- Remember: Cone ≠ Pyramid — one has a circle base, the other a polygon.

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If you can describe the exact shapes in each composite figure (e.g., “a box with a triangle on top”), I can give you the exact answer!