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Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 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 3 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 169.6 cm3

  1. V = π × r2 × h = π × 32 × 6
  2. = π × 54
  3. ≈ 169.6 cm3
2.A rectangular prism has a volume of 80 cm3. Its base is 8 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 8 × 5 = 40 cm2
  2. Height = 80 ÷ 40 = 2 cm
3.A triangular prism has a triangular end with base 4 cm and height 8 cm. The prism is 13 cm long. Find its volume.

Answer: 208 cm3

  1. Area of the triangle = ½ × 4 × 8 = 16 cm2
  2. V = area of end × length = 16 × 13
  3. = 208 cm3
4.A cylinder has a radius of 2 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 88.0 cm3

  1. V = π × r2 × h = π × 22 × 7
  2. = π × 28
  3. ≈ 88.0 cm3
5.A triangular prism has a triangular end with base 18 cm and height 8 cm. The prism is 13 cm long. Find its volume.

Answer: 936 cm3

  1. Area of the triangle = ½ × 18 × 8 = 72 cm2
  2. V = area of end × length = 72 × 13
  3. = 936 cm3
6.A cylinder has a radius of 8 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 3015.9 cm3

  1. V = π × r2 × h = π × 82 × 15
  2. = π × 960
  3. ≈ 3015.9 cm3
7.A rectangular prism has a volume of 320 cm3. Its base is 8 cm by 8 cm. Find its height.

Answer: 5 cm

  1. Base area = 8 × 8 = 64 cm2
  2. Height = 320 ÷ 64 = 5 cm
8.A cylinder has a radius of 8 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 3619.1 cm3

  1. V = π × r2 × h = π × 82 × 18
  2. = π × 1152
  3. ≈ 3619.1 cm3
9.A rectangular prism has a volume of 810 cm3. Its base is 9 cm by 10 cm. Find its height.

Answer: 9 cm

  1. Base area = 9 × 10 = 90 cm2
  2. Height = 810 ÷ 90 = 9 cm
10.A rectangular prism has a volume of 198 cm3. Its base is 11 cm by 9 cm. Find its height.

Answer: 2 cm

  1. Base area = 11 × 9 = 99 cm2
  2. Height = 198 ÷ 99 = 2 cm
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