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Volume of 3D Shapes

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Volume of 3D Shapes worksheet preview

Volume of 3D Shapes

3D shapes illustration

📐 Part 1: Understanding Volume

1. What is volume?

The distance around a shape

The amount of space inside a 3D shape

The flat surface of a shape

The height of a shape

2. Which units are used to measure volume? (Select all that apply)

cm³

mm

3. Match the shape to its volume formula:

Cube: V = _____________

Rectangular prism: V = _____________

Cylinder: V = _____________

Formulas: π × r² × h, side³, length × width × height

🔢 Part 2: Volume Calculations

4. Calculate the volume of a cube with side length 5 cm.

Volume = _______ cm³

5. Find the volume of a rectangular prism: length = 8 m, width = 3 m, height = 4 m.

Volume = _______ m³

6. Calculate the volume of a cylinder with radius = 6 cm and height = 10 cm. (Use π = 3.14)

Volume = _______ cm³

7. A storage box measures 2.5 m × 1.8 m × 0.9 m. What is its volume?

Volume = _______ m³

🧠 Part 3: Problem Solving & Extension

8. A water tank is cylindrical with diameter 4 m and height 3 m. How much water can it hold? (1 m³ = 1000 litres)

Volume = _______ litres

9. Extension: If you double all dimensions of a rectangular prism, how does the volume change? Explain your reasoning.
10. Challenge: A composite shape is made from a rectangular prism (4 cm × 4 cm × 6 cm) with a cylindrical hole drilled through it (radius 1 cm). Calculate the remaining volume.

Remaining volume = _______ cm³

11. Reflection: Describe how you would explain volume to a friend who has never heard of it.

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