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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 triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 5 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 18 × 2 = 18 cm2
  2. V = area of end × length = 18 × 5
  3. = 90 cm3
2.A cylinder has a radius of 10 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 5969.0 cm3

  1. V = π × r2 × h = π × 102 × 19
  2. = π × 1900
  3. ≈ 5969.0 cm3
3.A cylinder has a radius of 4 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 150.8 cm3

  1. V = π × r2 × h = π × 42 × 3
  2. = π × 48
  3. ≈ 150.8 cm3
4.A cylinder has a radius of 10 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 5340.7 cm3

  1. V = π × r2 × h = π × 102 × 17
  2. = π × 1700
  3. ≈ 5340.7 cm3
5.A triangular prism has a triangular end with base 24 cm and height 6 cm. The prism is 11 cm long. Find its volume.

Answer: 792 cm3

  1. Area of the triangle = ½ × 24 × 6 = 72 cm2
  2. V = area of end × length = 72 × 11
  3. = 792 cm3
6.A rectangular prism has a volume of 294 cm3. Its base is 7 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 7 × 7 = 49 cm2
  2. Height = 294 ÷ 49 = 6 cm
7.A rectangular prism has a volume of 144 cm3. Its base is 12 cm by 6 cm. Find its height.

Answer: 2 cm

  1. Base area = 12 × 6 = 72 cm2
  2. Height = 144 ÷ 72 = 2 cm
8.A rectangular prism has a volume of 756 cm3. Its base is 12 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 12 × 9 = 108 cm2
  2. Height = 756 ÷ 108 = 7 cm
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 triangular prism has a triangular end with base 6 cm and height 10 cm. The prism is 13 cm long. Find its volume.

Answer: 390 cm3

  1. Area of the triangle = ½ × 6 × 10 = 30 cm2
  2. V = area of end × length = 30 × 13
  3. = 390 cm3
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