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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 rectangular prism has a volume of 192 cm3. Its base is 8 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 8 × 4 = 32 cm2
  2. Height = 192 ÷ 32 = 6 cm
2.A cylinder has a radius of 10 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 3769.9 cm3

  1. V = π × r2 × h = π × 102 × 12
  2. = π × 1200
  3. ≈ 3769.9 cm3
3.A triangular prism has a triangular end with base 10 cm and height 9 cm. The prism is 14 cm long. Find its volume.

Answer: 630 cm3

  1. Area of the triangle = ½ × 10 × 9 = 45 cm2
  2. V = area of end × length = 45 × 14
  3. = 630 cm3
4.A cylinder has a radius of 4 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 603.2 cm3

  1. V = π × r2 × h = π × 42 × 12
  2. = π × 192
  3. ≈ 603.2 cm3
5.A rectangular prism has a volume of 324 cm3. Its base is 9 cm by 4 cm. Find its height.

Answer: 9 cm

  1. Base area = 9 × 4 = 36 cm2
  2. Height = 324 ÷ 36 = 9 cm
6.A triangular prism has a triangular end with base 12 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 12 × 8 = 48 cm2
  2. V = area of end × length = 48 × 10
  3. = 480 cm3
7.A triangular prism has a triangular end with base 4 cm and height 8 cm. The prism is 5 cm long. Find its volume.

Answer: 80 cm3

  1. Area of the triangle = ½ × 4 × 8 = 16 cm2
  2. V = area of end × length = 16 × 5
  3. = 80 cm3
8.A triangular prism has a triangular end with base 18 cm and height 10 cm. The prism is 7 cm long. Find its volume.

Answer: 630 cm3

  1. Area of the triangle = ½ × 18 × 10 = 90 cm2
  2. V = area of end × length = 90 × 7
  3. = 630 cm3
9.A cylinder has a radius of 4 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 351.9 cm3

  1. V = π × r2 × h = π × 42 × 7
  2. = π × 112
  3. ≈ 351.9 cm3
10.A cylinder has a radius of 2 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 22 × 20
  2. = π × 80
  3. ≈ 251.3 cm3
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