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Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 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 cylinder has a radius of 10 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 3455.8 cm3

  1. V = π × r2 × h = π × 102 × 11
  2. = π × 1100
  3. ≈ 3455.8 cm3
2.A cylinder has a radius of 10 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 2513.3 cm3

  1. V = π × r2 × h = π × 102 × 8
  2. = π × 800
  3. ≈ 2513.3 cm3
3.A rectangular prism has a volume of 245 cm3. Its base is 7 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 7 × 5 = 35 cm2
  2. Height = 245 ÷ 35 = 7 cm
4.A rectangular prism has a volume of 96 cm3. Its base is 6 cm by 4 cm. Find its height.

Answer: 4 cm

  1. Base area = 6 × 4 = 24 cm2
  2. Height = 96 ÷ 24 = 4 cm
5.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
6.A triangular prism has a triangular end with base 22 cm and height 9 cm. The prism is 5 cm long. Find its volume.

Answer: 495 cm3

  1. Area of the triangle = ½ × 22 × 9 = 99 cm2
  2. V = area of end × length = 99 × 5
  3. = 495 cm3
7.A rectangular prism has a volume of 168 cm3. Its base is 4 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 7 = 28 cm2
  2. Height = 168 ÷ 28 = 6 cm
8.A triangular prism has a triangular end with base 18 cm and height 7 cm. The prism is 14 cm long. Find its volume.

Answer: 882 cm3

  1. Area of the triangle = ½ × 18 × 7 = 63 cm2
  2. V = area of end × length = 63 × 14
  3. = 882 cm3
9.A rectangular prism has a volume of 112 cm3. Its base is 4 cm by 7 cm. Find its height.

Answer: 4 cm

  1. Base area = 4 × 7 = 28 cm2
  2. Height = 112 ÷ 28 = 4 cm
10.A triangular prism has a triangular end with base 14 cm and height 6 cm. The prism is 11 cm long. Find its volume.

Answer: 462 cm3

  1. Area of the triangle = ½ × 14 × 6 = 42 cm2
  2. V = area of end × length = 42 × 11
  3. = 462 cm3
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