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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — 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 648 cm3. Its base is 8 cm by 9 cm. Find its height.

Answer: 9 cm

  1. Base area = 8 × 9 = 72 cm2
  2. Height = 648 ÷ 72 = 9 cm
2.A rectangular prism has a volume of 48 cm3. Its base is 8 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 8 × 3 = 24 cm2
  2. Height = 48 ÷ 24 = 2 cm
3.A cylinder has a radius of 3 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 113.1 cm3

  1. V = π × r2 × h = π × 32 × 4
  2. = π × 36
  3. ≈ 113.1 cm3
4.A rectangular prism has a volume of 440 cm3. Its base is 11 cm by 5 cm. Find its height.

Answer: 8 cm

  1. Base area = 11 × 5 = 55 cm2
  2. Height = 440 ÷ 55 = 8 cm
5.A triangular prism has a triangular end with base 20 cm and height 8 cm. The prism is 5 cm long. Find its volume.

Answer: 400 cm3

  1. Area of the triangle = ½ × 20 × 8 = 80 cm2
  2. V = area of end × length = 80 × 5
  3. = 400 cm3
6.A triangular prism has a triangular end with base 20 cm and height 5 cm. The prism is 10 cm long. Find its volume.

Answer: 500 cm3

  1. Area of the triangle = ½ × 20 × 5 = 50 cm2
  2. V = area of end × length = 50 × 10
  3. = 500 cm3
7.A rectangular prism has a volume of 336 cm3. Its base is 12 cm by 7 cm. Find its height.

Answer: 4 cm

  1. Base area = 12 × 7 = 84 cm2
  2. Height = 336 ÷ 84 = 4 cm
8.A rectangular prism has a volume of 132 cm3. Its base is 11 cm by 4 cm. Find its height.

Answer: 3 cm

  1. Base area = 11 × 4 = 44 cm2
  2. Height = 132 ÷ 44 = 3 cm
9.A cylinder has a radius of 7 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 1539.4 cm3

  1. V = π × r2 × h = π × 72 × 10
  2. = π × 490
  3. ≈ 1539.4 cm3
10.A rectangular prism has a volume of 378 cm3. Its base is 7 cm by 9 cm. Find its height.

Answer: 6 cm

  1. Base area = 7 × 9 = 63 cm2
  2. Height = 378 ÷ 63 = 6 cm
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