Same volume, different shape; the volume formula
Answers are for parents and teachers.
1
Find three different boxes with volume 16 cm³. Give length, width and height.
For example 8 × 2 × 1, 4 × 4 × 1 and 4 × 2 × 2.
2
Find the volume of a box 9 cm long, 6 cm wide and 5 cm high.
9 × 6 = 54 and 54 × 5 = 270 cm³.
3
A box has volume 96 cm³, length 8 cm and width 4 cm. Find its height.
Base area 8 × 4 = 32. Height 96 ÷ 32 = 3 cm.
4
A water tank is 2 m long, 1 m wide and 1 m high. What is its volume? How many litres can it hold? (1 m³ = 1,000 litres)
2 × 1 × 1 = 2 m³, which is 2 × 1,000 = 2,000 litres.
5
Mariam says two boxes with different shapes cannot have the same volume. Show with 2 × 8 × 3 and 4 × 4 × 3 that she is wrong.
2 × 8 × 3 = 48 and 4 × 4 × 3 = 48. The shapes differ but the volume is the same.