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Year 7 Volume of Prisms and Cylinders Worksheet — Level 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 — 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 54 cm3. Its base is 6 cm by 3 cm. Find its height.

Answer: 3 cm

  1. Base area = 6 × 3 = 18 cm2
  2. Height = 54 ÷ 18 = 3 cm
2.A cylinder has a radius of 6 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 62 × 4
  2. = π × 144
  3. ≈ 452.4 cm3
3.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 6 cm long. Find its volume.

Answer: 198 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 6
  3. = 198 cm3
4.A triangular prism has a triangular end with base 14 cm and height 9 cm. The prism is 3 cm long. Find its volume.

Answer: 189 cm3

  1. Area of the triangle = ½ × 14 × 9 = 63 cm2
  2. V = area of end × length = 63 × 3
  3. = 189 cm3
5.A cylinder has a radius of 9 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 1017.9 cm3

  1. V = π × r2 × h = π × 92 × 4
  2. = π × 324
  3. ≈ 1017.9 cm3
6.A cylinder has a radius of 10 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 6283.2 cm3

  1. V = π × r2 × h = π × 102 × 20
  2. = π × 2000
  3. ≈ 6283.2 cm3
7.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 6 cm long. Find its volume.

Answer: 36 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 6
  3. = 36 cm3
8.A triangular prism has a triangular end with base 18 cm and height 4 cm. The prism is 12 cm long. Find its volume.

Answer: 432 cm3

  1. Area of the triangle = ½ × 18 × 4 = 36 cm2
  2. V = area of end × length = 36 × 12
  3. = 432 cm3
9.A rectangular prism has a volume of 72 cm3. Its base is 3 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 4 = 12 cm2
  2. Height = 72 ÷ 12 = 6 cm
10.A rectangular prism has a volume of 240 cm3. Its base is 4 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 10 = 40 cm2
  2. Height = 240 ÷ 40 = 6 cm
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