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Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Volume & Capacity

Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A cylinder has a radius of 6 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 904.8 cm3

  1. V = π × r2 × h = π × 62 × 8
  2. = π × 288
  3. ≈ 904.8 cm3
2.A rectangular prism has a volume of 90 cm3. Its base is 10 cm by 3 cm. Find its height.

Answer: 3 cm

  1. Base area = 10 × 3 = 30 cm2
  2. Height = 90 ÷ 30 = 3 cm
3.A cylinder has a radius of 10 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 2827.4 cm3

  1. V = π × r2 × h = π × 102 × 9
  2. = π × 900
  3. ≈ 2827.4 cm3
4.A rectangular prism has a volume of 120 cm3. Its base is 6 cm by 4 cm. Find its height.

Answer: 5 cm

  1. Base area = 6 × 4 = 24 cm2
  2. Height = 120 ÷ 24 = 5 cm
5.A triangular prism has a triangular end with base 18 cm and height 6 cm. The prism is 8 cm long. Find its volume.

Answer: 432 cm3

  1. Area of the triangle = ½ × 18 × 6 = 54 cm2
  2. V = area of end × length = 54 × 8
  3. = 432 cm3
6.A rectangular prism has a volume of 405 cm3. Its base is 9 cm by 9 cm. Find its height.

Answer: 5 cm

  1. Base area = 9 × 9 = 81 cm2
  2. Height = 405 ÷ 81 = 5 cm
7.A cylinder has a radius of 3 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 32 × 16
  2. = π × 144
  3. ≈ 452.4 cm3
8.A rectangular prism has a volume of 36 cm3. Its base is 3 cm by 3 cm. Find its height.

Answer: 4 cm

  1. Base area = 3 × 3 = 9 cm2
  2. Height = 36 ÷ 9 = 4 cm
9.A cylinder has a radius of 3 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 254.5 cm3

  1. V = π × r2 × h = π × 32 × 9
  2. = π × 81
  3. ≈ 254.5 cm3
10.A rectangular prism has a volume of 210 cm3. Its base is 10 cm by 7 cm. Find its height.

Answer: 3 cm

  1. Base area = 10 × 7 = 70 cm2
  2. Height = 210 ÷ 70 = 3 cm
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