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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 rectangular prism has a volume of 72 cm3. Its base is 6 cm by 3 cm. Find its height.

Answer: 4 cm

  1. Base area = 6 × 3 = 18 cm2
  2. Height = 72 ÷ 18 = 4 cm
2.A triangular prism has a triangular end with base 8 cm and height 6 cm. The prism is 7 cm long. Find its volume.

Answer: 168 cm3

  1. Area of the triangle = ½ × 8 × 6 = 24 cm2
  2. V = area of end × length = 24 × 7
  3. = 168 cm3
3.A triangular prism has a triangular end with base 8 cm and height 7 cm. The prism is 3 cm long. Find its volume.

Answer: 84 cm3

  1. Area of the triangle = ½ × 8 × 7 = 28 cm2
  2. V = area of end × length = 28 × 3
  3. = 84 cm3
4.A triangular prism has a triangular end with base 12 cm and height 6 cm. The prism is 7 cm long. Find its volume.

Answer: 252 cm3

  1. Area of the triangle = ½ × 12 × 6 = 36 cm2
  2. V = area of end × length = 36 × 7
  3. = 252 cm3
5.A rectangular prism has a volume of 189 cm3. Its base is 3 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 3 × 9 = 27 cm2
  2. Height = 189 ÷ 27 = 7 cm
6.A cylinder has a radius of 5 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 863.9 cm3

  1. V = π × r2 × h = π × 52 × 11
  2. = π × 275
  3. ≈ 863.9 cm3
7.A cylinder has a radius of 3 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 508.9 cm3

  1. V = π × r2 × h = π × 32 × 18
  2. = π × 162
  3. ≈ 508.9 cm3
8.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
9.A rectangular prism has a volume of 231 cm3. Its base is 11 cm by 3 cm. Find its height.

Answer: 7 cm

  1. Base area = 11 × 3 = 33 cm2
  2. Height = 231 ÷ 33 = 7 cm
10.A cylinder has a radius of 5 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 942.5 cm3

  1. V = π × r2 × h = π × 52 × 12
  2. = π × 300
  3. ≈ 942.5 cm3
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