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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 rectangular prism has a volume of 220 cm3. Its base is 11 cm by 5 cm. Find its height.

Answer: 4 cm

  1. Base area = 11 × 5 = 55 cm2
  2. Height = 220 ÷ 55 = 4 cm
2.A rectangular prism has a volume of 175 cm3. Its base is 5 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 5 × 5 = 25 cm2
  2. Height = 175 ÷ 25 = 7 cm
3.A triangular prism has a triangular end with base 10 cm and height 6 cm. The prism is 7 cm long. Find its volume.

Answer: 210 cm3

  1. Area of the triangle = ½ × 10 × 6 = 30 cm2
  2. V = area of end × length = 30 × 7
  3. = 210 cm3
4.A rectangular prism has a volume of 36 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 36 ÷ 12 = 3 cm
5.A cylinder has a radius of 6 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 2035.8 cm3

  1. V = π × r2 × h = π × 62 × 18
  2. = π × 648
  3. ≈ 2035.8 cm3
6.A cylinder has a radius of 2 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 22 × 20
  2. = π × 80
  3. ≈ 251.3 cm3
7.A triangular prism has a triangular end with base 10 cm and height 4 cm. The prism is 12 cm long. Find its volume.

Answer: 240 cm3

  1. Area of the triangle = ½ × 10 × 4 = 20 cm2
  2. V = area of end × length = 20 × 12
  3. = 240 cm3
8.A triangular prism has a triangular end with base 20 cm and height 8 cm. The prism is 11 cm long. Find its volume.

Answer: 880 cm3

  1. Area of the triangle = ½ × 20 × 8 = 80 cm2
  2. V = area of end × length = 80 × 11
  3. = 880 cm3
9.A cylinder has a radius of 7 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 3078.8 cm3

  1. V = π × r2 × h = π × 72 × 20
  2. = π × 980
  3. ≈ 3078.8 cm3
10.A cylinder has a radius of 2 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 201.1 cm3

  1. V = π × r2 × h = π × 22 × 16
  2. = π × 64
  3. ≈ 201.1 cm3
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