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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A rectangular prism has a volume of 160 cm3. Its base is 4 cm by 8 cm. Find its height.

Answer: 5 cm

  1. Base area = 4 × 8 = 32 cm2
  2. Height = 160 ÷ 32 = 5 cm
2.A cylinder has a radius of 7 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 2463.0 cm3

  1. V = π × r2 × h = π × 72 × 16
  2. = π × 784
  3. ≈ 2463.0 cm3
3.A triangular prism has a triangular end with base 4 cm and height 7 cm. The prism is 14 cm long. Find its volume.

Answer: 196 cm3

  1. Area of the triangle = ½ × 4 × 7 = 14 cm2
  2. V = area of end × length = 14 × 14
  3. = 196 cm3
4.A rectangular prism has a volume of 12 cm3. Its base is 3 cm by 2 cm. Find its height.

Answer: 2 cm

  1. Base area = 3 × 2 = 6 cm2
  2. Height = 12 ÷ 6 = 2 cm
5.A rectangular prism has a volume of 54 cm3. Its base is 3 cm by 6 cm. Find its height.

Answer: 3 cm

  1. Base area = 3 × 6 = 18 cm2
  2. Height = 54 ÷ 18 = 3 cm
6.A rectangular prism has a volume of 240 cm3. Its base is 4 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 10 = 40 cm2
  2. Height = 240 ÷ 40 = 6 cm
7.A triangular prism has a triangular end with base 20 cm and height 3 cm. The prism is 11 cm long. Find its volume.

Answer: 330 cm3

  1. Area of the triangle = ½ × 20 × 3 = 30 cm2
  2. V = area of end × length = 30 × 11
  3. = 330 cm3
8.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
9.A triangular prism has a triangular end with base 18 cm and height 4 cm. The prism is 8 cm long. Find its volume.

Answer: 288 cm3

  1. Area of the triangle = ½ × 18 × 4 = 36 cm2
  2. V = area of end × length = 36 × 8
  3. = 288 cm3
10.A cylinder has a radius of 6 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 1131.0 cm3

  1. V = π × r2 × h = π × 62 × 10
  2. = π × 360
  3. ≈ 1131.0 cm3
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