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Volume and 3D Shapes

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Volume and 3D Shapes worksheet preview
Volume and 3D Shapes

Volume and 3D Shapes

3D shapes and unit cubes illustration

📦 Part 1: Identifying 3D Shapes

1. Circle the 3D shapes from the list below:

Cube

Circle

Rectangular prism

Triangle

Cylinder

Square

2. Match each 3D shape with its description:
1. Cube
2. Rectangular prism
3. Cylinder
A. Has 2 circular faces and 1 curved surface
B. All faces are squares of equal size
C. Has 6 rectangular faces
3. Draw a cube in the box below:

📏 Part 2: Understanding Volume

4. What is volume? Complete the sentence:

Volume is the amount of ____________ that a 3D object takes up.

5. Which unit cubes would you use to measure volume? Circle the correct answer:

Square centimetres

Cubic centimetres

Metres

Litres

6. Look at this rectangular prism made of unit cubes. If the length is 4 cubes, width is 2 cubes, and height is 3 cubes, what is the volume?

Volume = _____ cubic units

🧮 Part 3: Calculating Volume

7. Complete the volume formula for rectangular prisms:

Volume = _______ × _______ × _______

Or: V = l × w × h

8. Calculate the volume of these rectangular prisms:

a) Length = 5 cm, Width = 3 cm, Height = 2 cm

Volume = _____ cubic centimetres

b) Length = 6 cm, Width = 4 cm, Height = 3 cm

Volume = _____ cubic centimetres

9. A cube has sides that are each 4 cm long. What is its volume?

Volume = _____ cubic centimetres

🪄 Part 4: Magic Carpet 3D Design

10. Design your magic carpet as a 3D rectangular prism. Draw your carpet design in the box below and label its dimensions:

Length: _____ cm

Width: _____ cm

Height (thickness): _____ cm

11. Calculate the volume of your magic carpet:

My magic carpet has a volume of _____ cubic centimetres

12. Explain why knowing the volume of your magic carpet might be important:

🏠 Part 5: Real-World Volume

13. Check all the real-world situations where you might need to calculate volume:

Packing boxes for moving house

Measuring paint for a wall

Filling a swimming pool with water

Buying carpet for a floor

Finding how much soil fits in a garden bed

14. A toy box is 60 cm long, 40 cm wide, and 30 cm high. Will a toy that has a volume of 50,000 cubic centimetres fit inside?

Answer: ____________ because ________________________________

15. Describe one way that understanding volume helps in everyday life:

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