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7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — 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 22 cm and height 5 cm. The prism is 6 cm long. Find its volume.

Answer: 330 cm3

  1. Area of the triangle = ½ × 22 × 5 = 55 cm2
  2. V = area of end × length = 55 × 6
  3. = 330 cm3
2.A cylinder has a radius of 4 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 653.5 cm3

  1. V = π × r2 × h = π × 42 × 13
  2. = π × 208
  3. ≈ 653.5 cm3
3.A cylinder has a radius of 10 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 5969.0 cm3

  1. V = π × r2 × h = π × 102 × 19
  2. = π × 1900
  3. ≈ 5969.0 cm3
4.A rectangular prism has a volume of 48 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 4 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 48 ÷ 12 = 4 cm
5.A rectangular prism has a volume of 432 cm3. Its base is 12 cm by 9 cm. Find its height.

Answer: 4 cm

  1. Base area = 12 × 9 = 108 cm2
  2. Height = 432 ÷ 108 = 4 cm
6.A cylinder has a radius of 7 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 2309.1 cm3

  1. V = π × r2 × h = π × 72 × 15
  2. = π × 735
  3. ≈ 2309.1 cm3
7.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 72 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 12
  3. = 72 cm3
8.A triangular prism has a triangular end with base 24 cm and height 3 cm. The prism is 10 cm long. Find its volume.

Answer: 360 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 10
  3. = 360 cm3
9.A cylinder has a radius of 9 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 4326.0 cm3

  1. V = π × r2 × h = π × 92 × 17
  2. = π × 1377
  3. ≈ 4326.0 cm3
10.A triangular prism has a triangular end with base 24 cm and height 5 cm. The prism is 9 cm long. Find its volume.

Answer: 540 cm3

  1. Area of the triangle = ½ × 24 × 5 = 60 cm2
  2. V = area of end × length = 60 × 9
  3. = 540 cm3
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