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Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 — 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 14 cm and height 2 cm. The prism is 13 cm long. Find its volume.

Answer: 182 cm3

  1. Area of the triangle = ½ × 14 × 2 = 14 cm2
  2. V = area of end × length = 14 × 13
  3. = 182 cm3
2.A triangular prism has a triangular end with base 12 cm and height 9 cm. The prism is 12 cm long. Find its volume.

Answer: 648 cm3

  1. Area of the triangle = ½ × 12 × 9 = 54 cm2
  2. V = area of end × length = 54 × 12
  3. = 648 cm3
3.A triangular prism has a triangular end with base 4 cm and height 7 cm. The prism is 15 cm long. Find its volume.

Answer: 210 cm3

  1. Area of the triangle = ½ × 4 × 7 = 14 cm2
  2. V = area of end × length = 14 × 15
  3. = 210 cm3
4.A triangular prism has a triangular end with base 8 cm and height 3 cm. The prism is 4 cm long. Find its volume.

Answer: 48 cm3

  1. Area of the triangle = ½ × 8 × 3 = 12 cm2
  2. V = area of end × length = 12 × 4
  3. = 48 cm3
5.A cylinder has a radius of 2 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 175.9 cm3

  1. V = π × r2 × h = π × 22 × 14
  2. = π × 56
  3. ≈ 175.9 cm3
6.A triangular prism has a triangular end with base 16 cm and height 3 cm. The prism is 7 cm long. Find its volume.

Answer: 168 cm3

  1. Area of the triangle = ½ × 16 × 3 = 24 cm2
  2. V = area of end × length = 24 × 7
  3. = 168 cm3
7.A cylinder has a radius of 8 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 3015.9 cm3

  1. V = π × r2 × h = π × 82 × 15
  2. = π × 960
  3. ≈ 3015.9 cm3
8.A cylinder has a radius of 2 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 150.8 cm3

  1. V = π × r2 × h = π × 22 × 12
  2. = π × 48
  3. ≈ 150.8 cm3
9.A triangular prism has a triangular end with base 16 cm and height 3 cm. The prism is 13 cm long. Find its volume.

Answer: 312 cm3

  1. Area of the triangle = ½ × 16 × 3 = 24 cm2
  2. V = area of end × length = 24 × 13
  3. = 312 cm3
10.A cylinder has a radius of 4 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 1005.3 cm3

  1. V = π × r2 × h = π × 42 × 20
  2. = π × 320
  3. ≈ 1005.3 cm3
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