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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 triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 15 cm long. Find its volume.

Answer: 1,050 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 15
  3. = 1,050 cm3
2.A rectangular prism has a volume of 100 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 5 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 100 ÷ 20 = 5 cm
3.A triangular prism has a triangular end with base 8 cm and height 9 cm. The prism is 7 cm long. Find its volume.

Answer: 252 cm3

  1. Area of the triangle = ½ × 8 × 9 = 36 cm2
  2. V = area of end × length = 36 × 7
  3. = 252 cm3
4.A cylinder has a radius of 10 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 2199.1 cm3

  1. V = π × r2 × h = π × 102 × 7
  2. = π × 700
  3. ≈ 2199.1 cm3
5.A rectangular prism has a volume of 378 cm3. Its base is 6 cm by 7 cm. Find its height.

Answer: 9 cm

  1. Base area = 6 × 7 = 42 cm2
  2. Height = 378 ÷ 42 = 9 cm
6.A cylinder has a radius of 6 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 1357.2 cm3

  1. V = π × r2 × h = π × 62 × 12
  2. = π × 432
  3. ≈ 1357.2 cm3
7.A rectangular prism has a volume of 180 cm3. Its base is 3 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 10 = 30 cm2
  2. Height = 180 ÷ 30 = 6 cm
8.A triangular prism has a triangular end with base 18 cm and height 4 cm. The prism is 3 cm long. Find its volume.

Answer: 108 cm3

  1. Area of the triangle = ½ × 18 × 4 = 36 cm2
  2. V = area of end × length = 36 × 3
  3. = 108 cm3
9.A cylinder has a radius of 5 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 471.2 cm3

  1. V = π × r2 × h = π × 52 × 6
  2. = π × 150
  3. ≈ 471.2 cm3
10.A triangular prism has a triangular end with base 20 cm and height 9 cm. The prism is 13 cm long. Find its volume.

Answer: 1,170 cm3

  1. Area of the triangle = ½ × 20 × 9 = 90 cm2
  2. V = area of end × length = 90 × 13
  3. = 1,170 cm3
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