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

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

1.A rectangular prism has a volume of 216 cm3. Its base is 3 cm by 8 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 8 = 24 cm2
  2. Height = 216 ÷ 24 = 9 cm
2.A triangular prism has a triangular end with base 16 cm and height 5 cm. The prism is 8 cm long. Find its volume.

Answer: 320 cm3

  1. Area of the triangle = ½ × 16 × 5 = 40 cm2
  2. V = area of end × length = 40 × 8
  3. = 320 cm3
3.A cylinder has a radius of 3 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 395.8 cm3

  1. V = π × r2 × h = π × 32 × 14
  2. = π × 126
  3. ≈ 395.8 cm3
4.A triangular prism has a triangular end with base 12 cm and height 9 cm. The prism is 4 cm long. Find its volume.

Answer: 216 cm3

  1. Area of the triangle = ½ × 12 × 9 = 54 cm2
  2. V = area of end × length = 54 × 4
  3. = 216 cm3
5.A triangular prism has a triangular end with base 10 cm and height 9 cm. The prism is 4 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 10 × 9 = 45 cm2
  2. V = area of end × length = 45 × 4
  3. = 180 cm3
6.A cylinder has a radius of 10 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1885.0 cm3

  1. V = π × r2 × h = π × 102 × 6
  2. = π × 600
  3. ≈ 1885.0 cm3
7.A rectangular prism has a volume of 432 cm3. Its base is 9 cm by 8 cm. Find its height.

Answer: 6 cm

  1. Base area = 9 × 8 = 72 cm2
  2. Height = 432 ÷ 72 = 6 cm
8.A triangular prism has a triangular end with base 10 cm and height 8 cm. The prism is 6 cm long. Find its volume.

Answer: 240 cm3

  1. Area of the triangle = ½ × 10 × 8 = 40 cm2
  2. V = area of end × length = 40 × 6
  3. = 240 cm3
9.A triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 5 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 18 × 2 = 18 cm2
  2. V = area of end × length = 18 × 5
  3. = 90 cm3
10.A triangular prism has a triangular end with base 6 cm and height 9 cm. The prism is 4 cm long. Find its volume.

Answer: 108 cm3

  1. Area of the triangle = ½ × 6 × 9 = 27 cm2
  2. V = area of end × length = 27 × 4
  3. = 108 cm3
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