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Volume of 3D Shapes

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Volume of 3D Shapes

Use the appropriate volume formula. Give units in cubic units, and use π = 3.14 where needed. Show your working for calculation questions.

Understanding Volume

1.Which statement best describes the volume of a three-dimensional object?

The distance around its outside
The amount of space it occupies
The area of one of its faces
The length of its tallest edge

2.Select both units that can be used to measure volume.

cm³
m²
m³
mm

3.Match each solid to its volume formula.

Cube with side length s
Rectangular prism with length l, width w and height h
Cylinder with radius r and height h

l × w × h
πr²h
s³

Calculate Volumes

Write each answer with the correct cubic unit.

4.A cube has edges of length 7 cm. Work out its volume.

5.A rectangular prism is 9 m long, 2.5 m wide and 3 m high. Calculate its volume.

6.A cylinder has radius 4 cm and height 12 cm. Calculate its volume using π = 3.14.

7.A shipping crate measures 1.6 m by 1.25 m by 0.8 m. Find the volume of the crate.

Apply and Extend

8.A cylindrical rainwater tank has a diameter of 3 m and a height of 2.4 m. Find its capacity in litres. Use π = 3.14 and 1 m³ = 1,000 L.

9.Every edge length of a rectangular prism is multiplied by 3. By what factor does its volume change? Explain using the volume formula.

10.A solid block is 5 cm long, 5 cm wide and 8 cm high. A cylindrical hole of radius 1.5 cm is drilled straight through its 8 cm height. Find the volume of material left. Use π = 3.14.

11.A rectangular prism has a base area of 18 cm² and a volume of 270 cm³. What is its height?