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Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 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 14 cm and height 2 cm. The prism is 6 cm long. Find its volume.

Answer: 84 cm3

  1. Area of the triangle = ½ × 14 × 2 = 14 cm2
  2. V = area of end × length = 14 × 6
  3. = 84 cm3
2.A cylinder has a radius of 2 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 37.7 cm3

  1. V = π × r2 × h = π × 22 × 3
  2. = π × 12
  3. ≈ 37.7 cm3
3.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 15 cm long. Find its volume.

Answer: 1,080 cm3

  1. Area of the triangle = ½ × 16 × 9 = 72 cm2
  2. V = area of end × length = 72 × 15
  3. = 1,080 cm3
4.A cylinder has a radius of 6 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 1470.3 cm3

  1. V = π × r2 × h = π × 62 × 13
  2. = π × 468
  3. ≈ 1470.3 cm3
5.A cylinder has a radius of 7 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 461.8 cm3

  1. V = π × r2 × h = π × 72 × 3
  2. = π × 147
  3. ≈ 461.8 cm3
6.A triangular prism has a triangular end with base 6 cm and height 6 cm. The prism is 15 cm long. Find its volume.

Answer: 270 cm3

  1. Area of the triangle = ½ × 6 × 6 = 18 cm2
  2. V = area of end × length = 18 × 15
  3. = 270 cm3
7.A triangular prism has a triangular end with base 22 cm and height 10 cm. The prism is 14 cm long. Find its volume.

Answer: 1,540 cm3

  1. Area of the triangle = ½ × 22 × 10 = 110 cm2
  2. V = area of end × length = 110 × 14
  3. = 1,540 cm3
8.A triangular prism has a triangular end with base 10 cm and height 7 cm. The prism is 13 cm long. Find its volume.

Answer: 455 cm3

  1. Area of the triangle = ½ × 10 × 7 = 35 cm2
  2. V = area of end × length = 35 × 13
  3. = 455 cm3
9.A triangular prism has a triangular end with base 16 cm and height 10 cm. The prism is 7 cm long. Find its volume.

Answer: 560 cm3

  1. Area of the triangle = ½ × 16 × 10 = 80 cm2
  2. V = area of end × length = 80 × 7
  3. = 560 cm3
10.A rectangular prism has a volume of 220 cm3. Its base is 11 cm by 10 cm. Find its height.

Answer: 2 cm

  1. Base area = 11 × 10 = 110 cm2
  2. Height = 220 ÷ 110 = 2 cm
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