Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 Find the volume of a rectangular prism 7 cm by 3 cm by 2 cm. (number of cm3)
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7 × 3 × 2 = 42 cm3.
2 Find the volume of a cube with edges of 4 cm. (number of cm3)
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4 × 4 × 4 = 64 cm3.
3 A prism has a cross-section area of 15 cm2 and a length of 6 cm. Find its volume. (number of cm3)
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15 × 6 = 90 cm3.
Level 2 · Core
4 Find the volume of a rectangular prism 9 cm by 4 cm by 5 cm. (number of cm3)
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9 × 4 = 36, then 36 × 5 = 180 cm3.
5 A triangular prism has a triangle with base 6 cm and perpendicular height 4 cm, and a length of 10 cm. Find its volume. (number of cm3)
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½ × 6 × 4 = 12 cm2, then 12 × 10 = 120 cm3.
6 A prism has a cross-section area of 22 cm2 and a length of 8 cm. Find its volume. (number of cm3)
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22 × 8 = 176 cm3.
Level 3 · Challenge
7 A triangular prism has a triangle with base 9 cm and perpendicular height 6 cm, and a length of 12 cm. Find its volume. (number of cm3)
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½ × 9 × 6 = 27 cm2, then 27 × 12 = 324 cm3.
8 A tent-shaped prism lies on its rectangular base. Its end triangles have base 10 cm and perpendicular height 7 cm, and the prism is 8 cm long. Find its volume. (number of cm3)
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½ × 10 × 7 = 35 cm2, then 35 × 8 = 280 cm3.
9 A rectangular prism has a base measuring 8 cm by 6 cm and a height of 15 cm. Find its volume. (number of cm3)
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Base area 8 × 6 = 48 cm2, then 48 × 15 = 720 cm3.