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

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 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 cylinder has a radius of 3 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 141.4 cm3

  1. V = π × r2 × h = π × 32 × 5
  2. = π × 45
  3. ≈ 141.4 cm3
2.A triangular prism has a triangular end with base 24 cm and height 4 cm. The prism is 4 cm long. Find its volume.

Answer: 192 cm3

  1. Area of the triangle = ½ × 24 × 4 = 48 cm2
  2. V = area of end × length = 48 × 4
  3. = 192 cm3
3.A rectangular prism has a volume of 72 cm3. Its base is 12 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 12 × 2 = 24 cm2
  2. Height = 72 ÷ 24 = 3 cm
4.A cylinder has a radius of 3 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 282.7 cm3

  1. V = π × r2 × h = π × 32 × 10
  2. = π × 90
  3. ≈ 282.7 cm3
5.A rectangular prism has a volume of 240 cm3. Its base is 6 cm by 10 cm. Find its height.

Answer: 4 cm

  1. Base area = 6 × 10 = 60 cm2
  2. Height = 240 ÷ 60 = 4 cm
6.A rectangular prism has a volume of 60 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 5 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 60 ÷ 12 = 5 cm
7.A cylinder has a radius of 6 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 339.3 cm3

  1. V = π × r2 × h = π × 62 × 3
  2. = π × 108
  3. ≈ 339.3 cm3
8.A cylinder has a radius of 3 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 537.2 cm3

  1. V = π × r2 × h = π × 32 × 19
  2. = π × 171
  3. ≈ 537.2 cm3
9.A triangular prism has a triangular end with base 8 cm and height 3 cm. The prism is 10 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 8 × 3 = 12 cm2
  2. V = area of end × length = 12 × 10
  3. = 120 cm3
10.A rectangular prism has a volume of 210 cm3. Its base is 10 cm by 3 cm. Find its height.

Answer: 7 cm

  1. Base area = 10 × 3 = 30 cm2
  2. Height = 210 ÷ 30 = 7 cm
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