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Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 2 — 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 16 cm and height 4 cm. The prism is 7 cm long. Find its volume.

Answer: 224 cm3

  1. Area of the triangle = ½ × 16 × 4 = 32 cm2
  2. V = area of end × length = 32 × 7
  3. = 224 cm3
2.A triangular prism has a triangular end with base 6 cm and height 5 cm. The prism is 10 cm long. Find its volume.

Answer: 150 cm3

  1. Area of the triangle = ½ × 6 × 5 = 15 cm2
  2. V = area of end × length = 15 × 10
  3. = 150 cm3
3.A cylinder has a radius of 4 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 42 × 9
  2. = π × 144
  3. ≈ 452.4 cm3
4.A cylinder has a radius of 4 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 603.2 cm3

  1. V = π × r2 × h = π × 42 × 12
  2. = π × 192
  3. ≈ 603.2 cm3
5.A triangular prism has a triangular end with base 10 cm and height 6 cm. The prism is 5 cm long. Find its volume.

Answer: 150 cm3

  1. Area of the triangle = ½ × 10 × 6 = 30 cm2
  2. V = area of end × length = 30 × 5
  3. = 150 cm3
6.A rectangular prism has a volume of 30 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 30 ÷ 15 = 2 cm
7.A triangular prism has a triangular end with base 16 cm and height 2 cm. The prism is 10 cm long. Find its volume.

Answer: 160 cm3

  1. Area of the triangle = ½ × 16 × 2 = 16 cm2
  2. V = area of end × length = 16 × 10
  3. = 160 cm3
8.A triangular prism has a triangular end with base 22 cm and height 7 cm. The prism is 6 cm long. Find its volume.

Answer: 462 cm3

  1. Area of the triangle = ½ × 22 × 7 = 77 cm2
  2. V = area of end × length = 77 × 6
  3. = 462 cm3
9.A cylinder has a radius of 3 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 339.3 cm3

  1. V = π × r2 × h = π × 32 × 12
  2. = π × 108
  3. ≈ 339.3 cm3
10.A triangular prism has a triangular end with base 4 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 160 cm3

  1. Area of the triangle = ½ × 4 × 8 = 16 cm2
  2. V = area of end × length = 16 × 10
  3. = 160 cm3
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