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5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 5th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet5th Grade · Mathematics · Volume & Capacity

5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Show your work. Use the π button on your calculator and round to 1 decimal place.

1.A rectangular prism has a volume of 378 cm3. Its base is 6 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 6 × 9 = 54 cm2
  2. Height = 378 ÷ 54 = 7 cm
2.A triangular prism has a triangular end with base 24 cm and height 8 cm. The prism is 6 cm long. Find its volume.

Answer: 576 cm3

  1. Area of the triangle = ½ × 24 × 8 = 96 cm2
  2. V = area of end × length = 96 × 6
  3. = 576 cm3
3.A rectangular prism has a volume of 60 cm3. Its base is 3 cm by 4 cm. Find its height.

Answer: 5 cm

  1. Base area = 3 × 4 = 12 cm2
  2. Height = 60 ÷ 12 = 5 cm
4.A cylinder has a radius of 7 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 1539.4 cm3

  1. V = π × r2 × h = π × 72 × 10
  2. = π × 490
  3. ≈ 1539.4 cm3
5.A triangular prism has a triangular end with base 20 cm and height 10 cm. The prism is 5 cm long. Find its volume.

Answer: 500 cm3

  1. Area of the triangle = ½ × 20 × 10 = 100 cm2
  2. V = area of end × length = 100 × 5
  3. = 500 cm3
6.A triangular prism has a triangular end with base 18 cm and height 3 cm. The prism is 14 cm long. Find its volume.

Answer: 378 cm3

  1. Area of the triangle = ½ × 18 × 3 = 27 cm2
  2. V = area of end × length = 27 × 14
  3. = 378 cm3
7.A rectangular prism has a volume of 450 cm3. Its base is 10 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 10 × 5 = 50 cm2
  2. Height = 450 ÷ 50 = 9 cm
8.A triangular prism has a triangular end with base 4 cm and height 9 cm. The prism is 12 cm long. Find its volume.

Answer: 216 cm3

  1. Area of the triangle = ½ × 4 × 9 = 18 cm2
  2. V = area of end × length = 18 × 12
  3. = 216 cm3
9.A cylinder has a radius of 9 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 3562.6 cm3

  1. V = π × r2 × h = π × 92 × 14
  2. = π × 1134
  3. ≈ 3562.6 cm3
10.A cylinder has a radius of 10 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1885.0 cm3

  1. V = π × r2 × h = π × 102 × 6
  2. = π × 600
  3. ≈ 1885.0 cm3
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