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Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

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

1.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
2.A cylinder has a radius of 9 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 3817.0 cm3

  1. V = π × r2 × h = π × 92 × 15
  2. = π × 1215
  3. ≈ 3817.0 cm3
3.A rectangular prism has a volume of 80 cm3. Its base is 4 cm by 10 cm. Find its height.

Answer: 2 cm

  1. Base area = 4 × 10 = 40 cm2
  2. Height = 80 ÷ 40 = 2 cm
4.A rectangular prism has a volume of 500 cm3. Its base is 10 cm by 10 cm. Find its height.

Answer: 5 cm

  1. Base area = 10 × 10 = 100 cm2
  2. Height = 500 ÷ 100 = 5 cm
5.A triangular prism has a triangular end with base 24 cm and height 10 cm. The prism is 8 cm long. Find its volume.

Answer: 960 cm3

  1. Area of the triangle = ½ × 24 × 10 = 120 cm2
  2. V = area of end × length = 120 × 8
  3. = 960 cm3
6.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
7.A rectangular prism has a volume of 432 cm3. Its base is 6 cm by 9 cm. Find its height.

Answer: 8 cm

  1. Base area = 6 × 9 = 54 cm2
  2. Height = 432 ÷ 54 = 8 cm
8.A rectangular prism has a volume of 336 cm3. Its base is 12 cm by 4 cm. Find its height.

Answer: 7 cm

  1. Base area = 12 × 4 = 48 cm2
  2. Height = 336 ÷ 48 = 7 cm
9.A cylinder has a radius of 9 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 4071.5 cm3

  1. V = π × r2 × h = π × 92 × 16
  2. = π × 1296
  3. ≈ 4071.5 cm3
10.A triangular prism has a triangular end with base 6 cm and height 9 cm. The prism is 3 cm long. Find its volume.

Answer: 81 cm3

  1. Area of the triangle = ½ × 6 × 9 = 27 cm2
  2. V = area of end × length = 27 × 3
  3. = 81 cm3
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