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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 24 cm and height 3 cm. The prism is 7 cm long. Find its volume.

Answer: 252 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 7
  3. = 252 cm3
2.A triangular prism has a triangular end with base 12 cm and height 9 cm. The prism is 5 cm long. Find its volume.

Answer: 270 cm3

  1. Area of the triangle = ½ × 12 × 9 = 54 cm2
  2. V = area of end × length = 54 × 5
  3. = 270 cm3
3.A triangular prism has a triangular end with base 4 cm and height 9 cm. The prism is 6 cm long. Find its volume.

Answer: 108 cm3

  1. Area of the triangle = ½ × 4 × 9 = 18 cm2
  2. V = area of end × length = 18 × 6
  3. = 108 cm3
4.A rectangular prism has a volume of 420 cm3. Its base is 12 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 12 × 5 = 60 cm2
  2. Height = 420 ÷ 60 = 7 cm
5.A triangular prism has a triangular end with base 12 cm and height 4 cm. The prism is 14 cm long. Find its volume.

Answer: 336 cm3

  1. Area of the triangle = ½ × 12 × 4 = 24 cm2
  2. V = area of end × length = 24 × 14
  3. = 336 cm3
6.A cylinder has a radius of 8 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1608.5 cm3

  1. V = π × r2 × h = π × 82 × 8
  2. = π × 512
  3. ≈ 1608.5 cm3
7.A rectangular prism has a volume of 36 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 36 ÷ 12 = 3 cm
8.A rectangular prism has a volume of 60 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 3 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 60 ÷ 20 = 3 cm
9.A rectangular prism has a volume of 140 cm3. Its base is 4 cm by 7 cm. Find its height.

Answer: 5 cm

  1. Base area = 4 × 7 = 28 cm2
  2. Height = 140 ÷ 28 = 5 cm
10.A triangular prism has a triangular end with base 20 cm and height 3 cm. The prism is 15 cm long. Find its volume.

Answer: 450 cm3

  1. Area of the triangle = ½ × 20 × 3 = 30 cm2
  2. V = area of end × length = 30 × 15
  3. = 450 cm3
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