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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 9 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 3308.1 cm3

  1. V = π × r2 × h = π × 92 × 13
  2. = π × 1053
  3. ≈ 3308.1 cm3
2.A rectangular prism has a volume of 48 cm3. Its base is 12 cm by 2 cm. Find its height.

Answer: 2 cm

  1. Base area = 12 × 2 = 24 cm2
  2. Height = 48 ÷ 24 = 2 cm
3.A cylinder has a radius of 7 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 2001.2 cm3

  1. V = π × r2 × h = π × 72 × 13
  2. = π × 637
  3. ≈ 2001.2 cm3
4.A cylinder has a radius of 8 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 2412.7 cm3

  1. V = π × r2 × h = π × 82 × 12
  2. = π × 768
  3. ≈ 2412.7 cm3
5.A triangular prism has a triangular end with base 16 cm and height 10 cm. The prism is 7 cm long. Find its volume.

Answer: 560 cm3

  1. Area of the triangle = ½ × 16 × 10 = 80 cm2
  2. V = area of end × length = 80 × 7
  3. = 560 cm3
6.A triangular prism has a triangular end with base 18 cm and height 10 cm. The prism is 4 cm long. Find its volume.

Answer: 360 cm3

  1. Area of the triangle = ½ × 18 × 10 = 90 cm2
  2. V = area of end × length = 90 × 4
  3. = 360 cm3
7.A rectangular prism has a volume of 128 cm3. Its base is 4 cm by 8 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 8 = 32 cm2
  2. Height = 128 ÷ 32 = 4 cm
8.A triangular prism has a triangular end with base 14 cm and height 4 cm. The prism is 14 cm long. Find its volume.

Answer: 392 cm3

  1. Area of the triangle = ½ × 14 × 4 = 28 cm2
  2. V = area of end × length = 28 × 14
  3. = 392 cm3
9.A rectangular prism has a volume of 210 cm3. Its base is 6 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 6 × 5 = 30 cm2
  2. Height = 210 ÷ 30 = 7 cm
10.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
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