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Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 — 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 16 cm. Find its volume, correct to 1 decimal place.

Answer: 1256.6 cm3

  1. V = π × r2 × h = π × 52 × 16
  2. = π × 400
  3. ≈ 1256.6 cm3
2.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
3.A rectangular prism has a volume of 108 cm3. Its base is 9 cm by 6 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 6 = 54 cm2
  2. Height = 108 ÷ 54 = 2 cm
4.A cylinder has a radius of 3 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 197.9 cm3

  1. V = π × r2 × h = π × 32 × 7
  2. = π × 63
  3. ≈ 197.9 cm3
5.A rectangular prism has a volume of 200 cm3. Its base is 5 cm by 5 cm. Find its height.

Answer: 8 cm

  1. Base area = 5 × 5 = 25 cm2
  2. Height = 200 ÷ 25 = 8 cm
6.A cylinder has a radius of 8 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1608.5 cm3

  1. V = π × r2 × h = π × 82 × 8
  2. = π × 512
  3. ≈ 1608.5 cm3
7.A cylinder has a radius of 6 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 2261.9 cm3

  1. V = π × r2 × h = π × 62 × 20
  2. = π × 720
  3. ≈ 2261.9 cm3
8.A triangular prism has a triangular end with base 20 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 300 cm3

  1. Area of the triangle = ½ × 20 × 2 = 20 cm2
  2. V = area of end × length = 20 × 15
  3. = 300 cm3
9.A triangular prism has a triangular end with base 22 cm and height 7 cm. The prism is 8 cm long. Find its volume.

Answer: 616 cm3

  1. Area of the triangle = ½ × 22 × 7 = 77 cm2
  2. V = area of end × length = 77 × 8
  3. = 616 cm3
10.A triangular prism has a triangular end with base 16 cm and height 10 cm. The prism is 5 cm long. Find its volume.

Answer: 400 cm3

  1. Area of the triangle = ½ × 16 × 10 = 80 cm2
  2. V = area of end × length = 80 × 5
  3. = 400 cm3
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