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 A cuboid is 5 cm × 4 cm × 3 cm. Volume in cm3?
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5 × 4 × 3 = 60 cm3.
2 A prism has cross-section 12 cm2 and length 6 cm. Volume in cm3?
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12 × 6 = 72 cm3.
3 How many millilitres is 1 cm3?
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1 mL. One cubic centimetre holds exactly one millilitre.
Level 2 · Core
4 A cylinder has radius 4 cm and height 10 cm. Volume to the nearest cm3? (π ≈ 3.142)
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π × 16 = 50.27, × 10 = 503 cm3.
5 A triangular prism: triangle base 10 cm, height 6 cm, prism length 8 cm. Volume in cm3?
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½(10)(6) = 30, × 8 = 240 cm3.
6 A tank is 50 cm × 20 cm × 20 cm. Capacity in litres?
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20000 cm3 ÷ 1000 = 20 L.
Level 3 · Challenge
7 A cylinder has diameter 12 cm and height 5 cm. Volume to the nearest cm3? (π ≈ 3.142)
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r = 6, so π × 36 × 5 = 565 cm3. Using 12 as the radius would be four times too big.
8 A cuboid has volume 360 cm3 and a base of 9 cm × 5 cm. Find its height, in cm.
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360 = 45h → h = 8 cm.
9 An L-shaped prism has a cross-section made of a 6 × 4 rectangle and a 3 × 2 rectangle, and a length of 10 cm. Volume in cm3?
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Cross-section 24 + 6 = 30 cm2, × 10 = 300 cm3.