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Year 8 Volume of Prisms and Cylinders Worksheet — Level 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 — Answers

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

1.A cylinder has a radius of 10 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 942.5 cm3

  1. V = π × r2 × h = π × 102 × 3
  2. = π × 300
  3. ≈ 942.5 cm3
2.A cylinder has a radius of 9 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 5089.4 cm3

  1. V = π × r2 × h = π × 92 × 20
  2. = π × 1620
  3. ≈ 5089.4 cm3
3.A cylinder has a radius of 6 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 1244.1 cm3

  1. V = π × r2 × h = π × 62 × 11
  2. = π × 396
  3. ≈ 1244.1 cm3
4.A cylinder has a radius of 6 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 565.5 cm3

  1. V = π × r2 × h = π × 62 × 5
  2. = π × 180
  3. ≈ 565.5 cm3
5.A triangular prism has a triangular end with base 8 cm and height 9 cm. The prism is 14 cm long. Find its volume.

Answer: 504 cm3

  1. Area of the triangle = ½ × 8 × 9 = 36 cm2
  2. V = area of end × length = 36 × 14
  3. = 504 cm3
6.A rectangular prism has a volume of 144 cm3. Its base is 6 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 6 × 4 = 24 cm2
  2. Height = 144 ÷ 24 = 6 cm
7.A rectangular prism has a volume of 560 cm3. Its base is 7 cm by 10 cm. Find its height.

Answer: 8 cm

  1. Base area = 7 × 10 = 70 cm2
  2. Height = 560 ÷ 70 = 8 cm
8.A triangular prism has a triangular end with base 12 cm and height 10 cm. The prism is 8 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 12 × 10 = 60 cm2
  2. V = area of end × length = 60 × 8
  3. = 480 cm3
9.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 7 cm long. Find its volume.

Answer: 504 cm3

  1. Area of the triangle = ½ × 16 × 9 = 72 cm2
  2. V = area of end × length = 72 × 7
  3. = 504 cm3
10.A cylinder has a radius of 6 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 791.7 cm3

  1. V = π × r2 × h = π × 62 × 7
  2. = π × 252
  3. ≈ 791.7 cm3
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