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Year 10 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Volume & Capacity

Year 10 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 cylinder has a radius of 8 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 2412.7 cm3

  1. V = π × r2 × h = π × 82 × 12
  2. = π × 768
  3. ≈ 2412.7 cm3
2.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
3.A triangular prism has a triangular end with base 24 cm and height 5 cm. The prism is 8 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 24 × 5 = 60 cm2
  2. V = area of end × length = 60 × 8
  3. = 480 cm3
4.A cylinder has a radius of 5 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 1413.7 cm3

  1. V = π × r2 × h = π × 52 × 18
  2. = π × 450
  3. ≈ 1413.7 cm3
5.A rectangular prism has a volume of 504 cm3. Its base is 9 cm by 7 cm. Find its height.

Answer: 8 cm

  1. Base area = 9 × 7 = 63 cm2
  2. Height = 504 ÷ 63 = 8 cm
6.A cylinder has a radius of 6 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 678.6 cm3

  1. V = π × r2 × h = π × 62 × 6
  2. = π × 216
  3. ≈ 678.6 cm3
7.A triangular prism has a triangular end with base 6 cm and height 8 cm. The prism is 4 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 6 × 8 = 24 cm2
  2. V = area of end × length = 24 × 4
  3. = 96 cm3
8.A triangular prism has a triangular end with base 18 cm and height 10 cm. The prism is 10 cm long. Find its volume.

Answer: 900 cm3

  1. Area of the triangle = ½ × 18 × 10 = 90 cm2
  2. V = area of end × length = 90 × 10
  3. = 900 cm3
9.A triangular prism has a triangular end with base 24 cm and height 3 cm. The prism is 10 cm long. Find its volume.

Answer: 360 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 10
  3. = 360 cm3
10.A triangular prism has a triangular end with base 18 cm and height 10 cm. The prism is 8 cm long. Find its volume.

Answer: 720 cm3

  1. Area of the triangle = ½ × 18 × 10 = 90 cm2
  2. V = area of end × length = 90 × 8
  3. = 720 cm3
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