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7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

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

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Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Volume & Capacity

7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Show your work. 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 8 cm. The prism is 9 cm long. Find its volume.

Answer: 504 cm3

  1. Area of the triangle = ½ × 14 × 8 = 56 cm2
  2. V = area of end × length = 56 × 9
  3. = 504 cm3
2.A cylinder has a radius of 5 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 392.7 cm3

  1. V = π × r2 × h = π × 52 × 5
  2. = π × 125
  3. ≈ 392.7 cm3
3.A cylinder has a radius of 6 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 1357.2 cm3

  1. V = π × r2 × h = π × 62 × 12
  2. = π × 432
  3. ≈ 1357.2 cm3
4.A cylinder has a radius of 6 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 1017.9 cm3

  1. V = π × r2 × h = π × 62 × 9
  2. = π × 324
  3. ≈ 1017.9 cm3
5.A triangular prism has a triangular end with base 4 cm and height 9 cm. The prism is 8 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 4 × 9 = 18 cm2
  2. V = area of end × length = 18 × 8
  3. = 144 cm3
6.A rectangular prism has a volume of 567 cm3. Its base is 9 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 9 × 9 = 81 cm2
  2. Height = 567 ÷ 81 = 7 cm
7.A rectangular prism has a volume of 288 cm3. Its base is 8 cm by 6 cm. Find its height.

Answer: 6 cm

  1. Base area = 8 × 6 = 48 cm2
  2. Height = 288 ÷ 48 = 6 cm
8.A triangular prism has a triangular end with base 16 cm and height 5 cm. The prism is 12 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 16 × 5 = 40 cm2
  2. V = area of end × length = 40 × 12
  3. = 480 cm3
9.A cylinder has a radius of 2 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 75.4 cm3

  1. V = π × r2 × h = π × 22 × 6
  2. = π × 24
  3. ≈ 75.4 cm3
10.A cylinder has a radius of 9 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 3053.6 cm3

  1. V = π × r2 × h = π × 92 × 12
  2. = π × 972
  3. ≈ 3053.6 cm3
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