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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 176 cm3. Its base is 11 cm by 4 cm. Find its height.

Answer: 4 cm

  1. Base area = 11 × 4 = 44 cm2
  2. Height = 176 ÷ 44 = 4 cm
2.A rectangular prism has a volume of 108 cm3. Its base is 6 cm by 3 cm. Find its height.

Answer: 6 cm

  1. Base area = 6 × 3 = 18 cm2
  2. Height = 108 ÷ 18 = 6 cm
3.A triangular prism has a triangular end with base 24 cm and height 8 cm. The prism is 3 cm long. Find its volume.

Answer: 288 cm3

  1. Area of the triangle = ½ × 24 × 8 = 96 cm2
  2. V = area of end × length = 96 × 3
  3. = 288 cm3
4.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 7 cm long. Find its volume.

Answer: 504 cm3

  1. Area of the triangle = ½ × 16 × 9 = 72 cm2
  2. V = area of end × length = 72 × 7
  3. = 504 cm3
5.A triangular prism has a triangular end with base 4 cm and height 6 cm. The prism is 8 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 4 × 6 = 12 cm2
  2. V = area of end × length = 12 × 8
  3. = 96 cm3
6.A cylinder has a radius of 5 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 1021.0 cm3

  1. V = π × r2 × h = π × 52 × 13
  2. = π × 325
  3. ≈ 1021.0 cm3
7.A triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 5 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 18 × 2 = 18 cm2
  2. V = area of end × length = 18 × 5
  3. = 90 cm3
8.A triangular prism has a triangular end with base 16 cm and height 4 cm. The prism is 3 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 16 × 4 = 32 cm2
  2. V = area of end × length = 32 × 3
  3. = 96 cm3
9.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 3 cm long. Find its volume.

Answer: 18 cm3

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

Answer: 367.6 cm3

  1. V = π × r2 × h = π × 32 × 13
  2. = π × 117
  3. ≈ 367.6 cm3
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