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Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 5 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Volume & Capacity

Year 5 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 7 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 1539.4 cm3

  1. V = π × r2 × h = π × 72 × 10
  2. = π × 490
  3. ≈ 1539.4 cm3
2.A cylinder has a radius of 5 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 314.2 cm3

  1. V = π × r2 × h = π × 52 × 4
  2. = π × 100
  3. ≈ 314.2 cm3
3.A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 502.7 cm3

  1. V = π × r2 × h = π × 42 × 10
  2. = π × 160
  3. ≈ 502.7 cm3
4.A rectangular prism has a volume of 672 cm3. Its base is 12 cm by 8 cm. Find its height.

Answer: 7 cm

  1. Base area = 12 × 8 = 96 cm2
  2. Height = 672 ÷ 96 = 7 cm
5.A triangular prism has a triangular end with base 18 cm and height 8 cm. The prism is 7 cm long. Find its volume.

Answer: 504 cm3

  1. Area of the triangle = ½ × 18 × 8 = 72 cm2
  2. V = area of end × length = 72 × 7
  3. = 504 cm3
6.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 396 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 12
  3. = 396 cm3
7.A cylinder has a radius of 10 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 5654.9 cm3

  1. V = π × r2 × h = π × 102 × 18
  2. = π × 1800
  3. ≈ 5654.9 cm3
8.A rectangular prism has a volume of 80 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 80 ÷ 20 = 4 cm
9.A triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 3 cm long. Find its volume.

Answer: 210 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 3
  3. = 210 cm3
10.A rectangular prism has a volume of 132 cm3. Its base is 11 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 11 × 2 = 22 cm2
  2. Height = 132 ÷ 22 = 6 cm
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