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Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.A cylinder has a radius of 8 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 3619.1 cm3

  1. V = π × r2 × h = π × 82 × 18
  2. = π × 1152
  3. ≈ 3619.1 cm3
2.A cylinder has a radius of 5 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 1178.1 cm3

  1. V = π × r2 × h = π × 52 × 15
  2. = π × 375
  3. ≈ 1178.1 cm3
3.A rectangular prism has a volume of 294 cm3. Its base is 7 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 7 × 7 = 49 cm2
  2. Height = 294 ÷ 49 = 6 cm
4.A rectangular prism has a volume of 196 cm3. Its base is 4 cm by 7 cm. Find its height.

Answer: 7 cm

  1. Base area = 4 × 7 = 28 cm2
  2. Height = 196 ÷ 28 = 7 cm
5.A cylinder has a radius of 9 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 2544.7 cm3

  1. V = π × r2 × h = π × 92 × 10
  2. = π × 810
  3. ≈ 2544.7 cm3
6.A rectangular prism has a volume of 108 cm3. Its base is 9 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 9 × 2 = 18 cm2
  2. Height = 108 ÷ 18 = 6 cm
7.A triangular prism has a triangular end with base 4 cm and height 9 cm. The prism is 11 cm long. Find its volume.

Answer: 198 cm3

  1. Area of the triangle = ½ × 4 × 9 = 18 cm2
  2. V = area of end × length = 18 × 11
  3. = 198 cm3
8.A rectangular prism has a volume of 80 cm3. Its base is 5 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 5 × 2 = 10 cm2
  2. Height = 80 ÷ 10 = 8 cm
9.A rectangular prism has a volume of 140 cm3. Its base is 7 cm by 10 cm. Find its height.

Answer: 2 cm

  1. Base area = 7 × 10 = 70 cm2
  2. Height = 140 ÷ 70 = 2 cm
10.A cylinder has a radius of 5 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 1335.2 cm3

  1. V = π × r2 × h = π × 52 × 17
  2. = π × 425
  3. ≈ 1335.2 cm3
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