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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Volume & Capacity

Year 9 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 2 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 226.2 cm3

  1. V = π × r2 × h = π × 22 × 18
  2. = π × 72
  3. ≈ 226.2 cm3
2.A triangular prism has a triangular end with base 24 cm and height 7 cm. The prism is 7 cm long. Find its volume.

Answer: 588 cm3

  1. Area of the triangle = ½ × 24 × 7 = 84 cm2
  2. V = area of end × length = 84 × 7
  3. = 588 cm3
3.A cylinder has a radius of 5 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 1099.6 cm3

  1. V = π × r2 × h = π × 52 × 14
  2. = π × 350
  3. ≈ 1099.6 cm3
4.A rectangular prism has a volume of 144 cm3. Its base is 4 cm by 9 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 9 = 36 cm2
  2. Height = 144 ÷ 36 = 4 cm
5.A cylinder has a radius of 8 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 3217.0 cm3

  1. V = π × r2 × h = π × 82 × 16
  2. = π × 1024
  3. ≈ 3217.0 cm3
6.A cylinder has a radius of 10 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 2199.1 cm3

  1. V = π × r2 × h = π × 102 × 7
  2. = π × 700
  3. ≈ 2199.1 cm3
7.A triangular prism has a triangular end with base 8 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 8 × 2 = 8 cm2
  2. V = area of end × length = 8 × 15
  3. = 120 cm3
8.A triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 9 cm long. Find its volume.

Answer: 630 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 9
  3. = 630 cm3
9.A cylinder has a radius of 5 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 1335.2 cm3

  1. V = π × r2 × h = π × 52 × 17
  2. = π × 425
  3. ≈ 1335.2 cm3
10.A triangular prism has a triangular end with base 4 cm and height 5 cm. The prism is 10 cm long. Find its volume.

Answer: 100 cm3

  1. Area of the triangle = ½ × 4 × 5 = 10 cm2
  2. V = area of end × length = 10 × 10
  3. = 100 cm3
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