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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 triangular prism has a triangular end with base 8 cm and height 4 cm. The prism is 13 cm long. Find its volume.

Answer: 208 cm3

  1. Area of the triangle = ½ × 8 × 4 = 16 cm2
  2. V = area of end × length = 16 × 13
  3. = 208 cm3
2.A triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 4 cm long. Find its volume.

Answer: 280 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 4
  3. = 280 cm3
3.A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 502.7 cm3

  1. V = π × r2 × h = π × 42 × 10
  2. = π × 160
  3. ≈ 502.7 cm3
4.A cylinder has a radius of 3 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 480.7 cm3

  1. V = π × r2 × h = π × 32 × 17
  2. = π × 153
  3. ≈ 480.7 cm3
5.A rectangular prism has a volume of 120 cm3. Its base is 5 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 5 × 4 = 20 cm2
  2. Height = 120 ÷ 20 = 6 cm
6.A rectangular prism has a volume of 280 cm3. Its base is 8 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 8 × 5 = 40 cm2
  2. Height = 280 ÷ 40 = 7 cm
7.A triangular prism has a triangular end with base 10 cm and height 2 cm. The prism is 4 cm long. Find its volume.

Answer: 40 cm3

  1. Area of the triangle = ½ × 10 × 2 = 10 cm2
  2. V = area of end × length = 10 × 4
  3. = 40 cm3
8.A cylinder has a radius of 10 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 942.5 cm3

  1. V = π × r2 × h = π × 102 × 3
  2. = π × 300
  3. ≈ 942.5 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 rectangular prism has a volume of 108 cm3. Its base is 6 cm by 6 cm. Find its height.

Answer: 3 cm

  1. Base area = 6 × 6 = 36 cm2
  2. Height = 108 ÷ 36 = 3 cm
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