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Year 9 Volume of Prisms and Cylinders Worksheet — Level 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 — 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 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
2.A rectangular prism has a volume of 147 cm3. Its base is 7 cm by 7 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 7 = 49 cm2
  2. Height = 147 ÷ 49 = 3 cm
3.A rectangular prism has a volume of 180 cm3. Its base is 9 cm by 10 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 10 = 90 cm2
  2. Height = 180 ÷ 90 = 2 cm
4.A triangular prism has a triangular end with base 22 cm and height 5 cm. The prism is 5 cm long. Find its volume.

Answer: 275 cm3

  1. Area of the triangle = ½ × 22 × 5 = 55 cm2
  2. V = area of end × length = 55 × 5
  3. = 275 cm3
5.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 10 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 10
  3. = 120 cm3
6.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 11 cm long. Find its volume.

Answer: 363 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 11
  3. = 363 cm3
7.A cylinder has a radius of 3 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 254.5 cm3

  1. V = π × r2 × h = π × 32 × 9
  2. = π × 81
  3. ≈ 254.5 cm3
8.A cylinder has a radius of 10 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 3455.8 cm3

  1. V = π × r2 × h = π × 102 × 11
  2. = π × 1100
  3. ≈ 3455.8 cm3
9.A cylinder has a radius of 5 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 785.4 cm3

  1. V = π × r2 × h = π × 52 × 10
  2. = π × 250
  3. ≈ 785.4 cm3
10.A cylinder has a radius of 4 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 42 × 9
  2. = π × 144
  3. ≈ 452.4 cm3
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