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Year 10 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Volume & Capacity

Year 10 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 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 2 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 88.0 cm3

  1. V = π × r2 × h = π × 22 × 7
  2. = π × 28
  3. ≈ 88.0 cm3
2.A triangular prism has a triangular end with base 18 cm and height 8 cm. The prism is 3 cm long. Find its volume.

Answer: 216 cm3

  1. Area of the triangle = ½ × 18 × 8 = 72 cm2
  2. V = area of end × length = 72 × 3
  3. = 216 cm3
3.A rectangular prism has a volume of 72 cm3. Its base is 9 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 4 = 36 cm2
  2. Height = 72 ÷ 36 = 2 cm
4.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
5.A cylinder has a radius of 9 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1526.8 cm3

  1. V = π × r2 × h = π × 92 × 6
  2. = π × 486
  3. ≈ 1526.8 cm3
6.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
7.A rectangular prism has a volume of 176 cm3. Its base is 11 cm by 8 cm. Find its height.

Answer: 2 cm

  1. Base area = 11 × 8 = 88 cm2
  2. Height = 176 ÷ 88 = 2 cm
8.A rectangular prism has a volume of 480 cm3. Its base is 8 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 8 × 10 = 80 cm2
  2. Height = 480 ÷ 80 = 6 cm
9.A triangular prism has a triangular end with base 10 cm and height 8 cm. The prism is 13 cm long. Find its volume.

Answer: 520 cm3

  1. Area of the triangle = ½ × 10 × 8 = 40 cm2
  2. V = area of end × length = 40 × 13
  3. = 520 cm3
10.A cylinder has a radius of 4 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 552.9 cm3

  1. V = π × r2 × h = π × 42 × 11
  2. = π × 176
  3. ≈ 552.9 cm3
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