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Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 Volume of Prisms and Cylinders Worksheet — Level 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 2 cm. The prism is 3 cm long. Find its volume.

Answer: 24 cm3

  1. Area of the triangle = ½ × 8 × 2 = 8 cm2
  2. V = area of end × length = 8 × 3
  3. = 24 cm3
2.A cylinder has a radius of 7 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 1847.3 cm3

  1. V = π × r2 × h = π × 72 × 12
  2. = π × 588
  3. ≈ 1847.3 cm3
3.A rectangular prism has a volume of 24 cm3. Its base is 3 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 3 × 4 = 12 cm2
  2. Height = 24 ÷ 12 = 2 cm
4.A cylinder has a radius of 8 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 804.2 cm3

  1. V = π × r2 × h = π × 82 × 4
  2. = π × 256
  3. ≈ 804.2 cm3
5.A cylinder has a radius of 9 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 1272.3 cm3

  1. V = π × r2 × h = π × 92 × 5
  2. = π × 405
  3. ≈ 1272.3 cm3
6.A triangular prism has a triangular end with base 24 cm and height 4 cm. The prism is 3 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 24 × 4 = 48 cm2
  2. V = area of end × length = 48 × 3
  3. = 144 cm3
7.A rectangular prism has a volume of 192 cm3. Its base is 12 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 12 × 2 = 24 cm2
  2. Height = 192 ÷ 24 = 8 cm
8.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
9.A rectangular prism has a volume of 504 cm3. Its base is 8 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 8 × 9 = 72 cm2
  2. Height = 504 ÷ 72 = 7 cm
10.A rectangular prism has a volume of 210 cm3. Its base is 10 cm by 7 cm. Find its height.

Answer: 3 cm

  1. Base area = 10 × 7 = 70 cm2
  2. Height = 210 ÷ 70 = 3 cm
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