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Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 8 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Volume & Capacity

Year 8 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 triangular prism has a triangular end with base 10 cm and height 10 cm. The prism is 12 cm long. Find its volume.

Answer: 600 cm3

  1. Area of the triangle = ½ × 10 × 10 = 50 cm2
  2. V = area of end × length = 50 × 12
  3. = 600 cm3
2.A triangular prism has a triangular end with base 14 cm and height 9 cm. The prism is 11 cm long. Find its volume.

Answer: 693 cm3

  1. Area of the triangle = ½ × 14 × 9 = 63 cm2
  2. V = area of end × length = 63 × 11
  3. = 693 cm3
3.A cylinder has a radius of 2 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 22 × 20
  2. = π × 80
  3. ≈ 251.3 cm3
4.A rectangular prism has a volume of 540 cm3. Its base is 6 cm by 10 cm. Find its height.

Answer: 9 cm

  1. Base area = 6 × 10 = 60 cm2
  2. Height = 540 ÷ 60 = 9 cm
5.A rectangular prism has a volume of 96 cm3. Its base is 4 cm by 6 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 6 = 24 cm2
  2. Height = 96 ÷ 24 = 4 cm
6.A triangular prism has a triangular end with base 24 cm and height 4 cm. The prism is 10 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 24 × 4 = 48 cm2
  2. V = area of end × length = 48 × 10
  3. = 480 cm3
7.A triangular prism has a triangular end with base 6 cm and height 8 cm. The prism is 11 cm long. Find its volume.

Answer: 264 cm3

  1. Area of the triangle = ½ × 6 × 8 = 24 cm2
  2. V = area of end × length = 24 × 11
  3. = 264 cm3
8.A cylinder has a radius of 3 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 197.9 cm3

  1. V = π × r2 × h = π × 32 × 7
  2. = π × 63
  3. ≈ 197.9 cm3
9.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
10.A cylinder has a radius of 3 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 508.9 cm3

  1. V = π × r2 × h = π × 32 × 18
  2. = π × 162
  3. ≈ 508.9 cm3
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