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

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A rectangular prism has a volume of 36 cm3. Its base is 3 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 2 = 6 cm2
  2. Height = 36 ÷ 6 = 6 cm
2.A rectangular prism has a volume of 630 cm3. Its base is 10 cm by 7 cm. Find its height.

Answer: 9 cm

  1. Base area = 10 × 7 = 70 cm2
  2. Height = 630 ÷ 70 = 9 cm
3.A triangular prism has a triangular end with base 12 cm and height 5 cm. The prism is 14 cm long. Find its volume.

Answer: 420 cm3

  1. Area of the triangle = ½ × 12 × 5 = 30 cm2
  2. V = area of end × length = 30 × 14
  3. = 420 cm3
4.A rectangular prism has a volume of 270 cm3. Its base is 9 cm by 6 cm. Find its height.

Answer: 5 cm

  1. Base area = 9 × 6 = 54 cm2
  2. Height = 270 ÷ 54 = 5 cm
5.A rectangular prism has a volume of 126 cm3. Its base is 7 cm by 2 cm. Find its height.

Answer: 9 cm

  1. Base area = 7 × 2 = 14 cm2
  2. Height = 126 ÷ 14 = 9 cm
6.A triangular prism has a triangular end with base 18 cm and height 3 cm. The prism is 8 cm long. Find its volume.

Answer: 216 cm3

  1. Area of the triangle = ½ × 18 × 3 = 27 cm2
  2. V = area of end × length = 27 × 8
  3. = 216 cm3
7.A rectangular prism has a volume of 63 cm3. Its base is 3 cm by 3 cm. Find its height.

Answer: 7 cm

  1. Base area = 3 × 3 = 9 cm2
  2. Height = 63 ÷ 9 = 7 cm
8.A cylinder has a radius of 8 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 2211.7 cm3

  1. V = π × r2 × h = π × 82 × 11
  2. = π × 704
  3. ≈ 2211.7 cm3
9.A triangular prism has a triangular end with base 10 cm and height 6 cm. The prism is 9 cm long. Find its volume.

Answer: 270 cm3

  1. Area of the triangle = ½ × 10 × 6 = 30 cm2
  2. V = area of end × length = 30 × 9
  3. = 270 cm3
10.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 8 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 8
  3. = 96 cm3
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