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Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 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 — Practice Set 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 10 cm and height 5 cm. The prism is 4 cm long. Find its volume.

Answer: 100 cm3

  1. Area of the triangle = ½ × 10 × 5 = 25 cm2
  2. V = area of end × length = 25 × 4
  3. = 100 cm3
2.A triangular prism has a triangular end with base 24 cm and height 3 cm. The prism is 6 cm long. Find its volume.

Answer: 216 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 6
  3. = 216 cm3
3.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
4.A triangular prism has a triangular end with base 24 cm and height 3 cm. The prism is 11 cm long. Find its volume.

Answer: 396 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 11
  3. = 396 cm3
5.A rectangular prism has a volume of 135 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 135 ÷ 15 = 9 cm
6.A cylinder has a radius of 2 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 100.5 cm3

  1. V = π × r2 × h = π × 22 × 8
  2. = π × 32
  3. ≈ 100.5 cm3
7.A cylinder has a radius of 5 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 706.9 cm3

  1. V = π × r2 × h = π × 52 × 9
  2. = π × 225
  3. ≈ 706.9 cm3
8.A triangular prism has a triangular end with base 22 cm and height 9 cm. The prism is 6 cm long. Find its volume.

Answer: 594 cm3

  1. Area of the triangle = ½ × 22 × 9 = 99 cm2
  2. V = area of end × length = 99 × 6
  3. = 594 cm3
9.A triangular prism has a triangular end with base 4 cm and height 5 cm. The prism is 12 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 4 × 5 = 10 cm2
  2. V = area of end × length = 10 × 12
  3. = 120 cm3
10.A rectangular prism has a volume of 216 cm3. Its base is 8 cm by 9 cm. Find its height.

Answer: 3 cm

  1. Base area = 8 × 9 = 72 cm2
  2. Height = 216 ÷ 72 = 3 cm
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