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Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 6 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & Capacity

Year 6 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 72 cm3. Its base is 4 cm by 2 cm. Find its height.

Answer: 9 cm

  1. Base area = 4 × 2 = 8 cm2
  2. Height = 72 ÷ 8 = 9 cm
2.A cylinder has a radius of 7 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 2924.8 cm3

  1. V = π × r2 × h = π × 72 × 19
  2. = π × 931
  3. ≈ 2924.8 cm3
3.A triangular prism has a triangular end with base 24 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 1,440 cm3

  1. Area of the triangle = ½ × 24 × 8 = 96 cm2
  2. V = area of end × length = 96 × 15
  3. = 1,440 cm3
4.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 11 cm long. Find its volume.

Answer: 132 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 11
  3. = 132 cm3
5.A rectangular prism has a volume of 18 cm3. Its base is 3 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 3 × 3 = 9 cm2
  2. Height = 18 ÷ 9 = 2 cm
6.A triangular prism has a triangular end with base 8 cm and height 2 cm. The prism is 4 cm long. Find its volume.

Answer: 32 cm3

  1. Area of the triangle = ½ × 8 × 2 = 8 cm2
  2. V = area of end × length = 8 × 4
  3. = 32 cm3
7.A cylinder has a radius of 2 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 100.5 cm3

  1. V = π × r2 × h = π × 22 × 8
  2. = π × 32
  3. ≈ 100.5 cm3
8.A cylinder has a radius of 9 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 1272.3 cm3

  1. V = π × r2 × h = π × 92 × 5
  2. = π × 405
  3. ≈ 1272.3 cm3
9.A triangular prism has a triangular end with base 4 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 60 cm3

  1. Area of the triangle = ½ × 4 × 2 = 4 cm2
  2. V = area of end × length = 4 × 15
  3. = 60 cm3
10.A cylinder has a radius of 5 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 942.5 cm3

  1. V = π × r2 × h = π × 52 × 12
  2. = π × 300
  3. ≈ 942.5 cm3
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