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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — 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 108 cm3. Its base is 9 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 9 × 2 = 18 cm2
  2. Height = 108 ÷ 18 = 6 cm
2.A cylinder has a radius of 6 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 1922.7 cm3

  1. V = π × r2 × h = π × 62 × 17
  2. = π × 612
  3. ≈ 1922.7 cm3
3.A triangular prism has a triangular end with base 20 cm and height 5 cm. The prism is 8 cm long. Find its volume.

Answer: 400 cm3

  1. Area of the triangle = ½ × 20 × 5 = 50 cm2
  2. V = area of end × length = 50 × 8
  3. = 400 cm3
4.A rectangular prism has a volume of 40 cm3. Its base is 10 cm by 2 cm. Find its height.

Answer: 2 cm

  1. Base area = 10 × 2 = 20 cm2
  2. Height = 40 ÷ 20 = 2 cm
5.A triangular prism has a triangular end with base 6 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 360 cm3

  1. Area of the triangle = ½ × 6 × 8 = 24 cm2
  2. V = area of end × length = 24 × 15
  3. = 360 cm3
6.A cylinder has a radius of 5 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 1021.0 cm3

  1. V = π × r2 × h = π × 52 × 13
  2. = π × 325
  3. ≈ 1021.0 cm3
7.A rectangular prism has a volume of 154 cm3. Its base is 11 cm by 7 cm. Find its height.

Answer: 2 cm

  1. Base area = 11 × 7 = 77 cm2
  2. Height = 154 ÷ 77 = 2 cm
8.A rectangular prism has a volume of 550 cm3. Its base is 11 cm by 10 cm. Find its height.

Answer: 5 cm

  1. Base area = 11 × 10 = 110 cm2
  2. Height = 550 ÷ 110 = 5 cm
9.A cylinder has a radius of 2 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 62.8 cm3

  1. V = π × r2 × h = π × 22 × 5
  2. = π × 20
  3. ≈ 62.8 cm3
10.A rectangular prism has a volume of 176 cm3. Its base is 11 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 11 × 2 = 22 cm2
  2. Height = 176 ÷ 22 = 8 cm
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