Example 1 · level 1
How many 1 cm cubes fit in a box 4 cm long, 3 cm wide and 3 cm high? (volume in cm³)
Show solution
- 4 × 3 = 12 per layer.
- 12 × 3 = 36 cubes.
Answer: 36
CLASS 5 MATHS · MENSURATION
Volume of a cuboid with unit cubes
Volume = length × breadth × height, counted in unit cubes (cm³).
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Worked examples
Example 2 · level 2
How many 1 cm cubes fit in a box 9 cm long, 2 cm wide and 10 cm high? (volume in cm³)
Show solution
- 9 × 2 = 18 per layer.
- 18 × 10 = 180 cubes.
Answer: 180
Example 3 · level 3
A box has volume 42 cm³. Its base is 7 cm by 3 cm. How tall is it?
Show solution
- h = 42 ÷ 21 = 2 cm.
Answer: 2 cm