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5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — 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 324 cm3. Its base is 9 cm by 9 cm. Find its height.

Answer: 4 cm

  1. Base area = 9 × 9 = 81 cm2
  2. Height = 324 ÷ 81 = 4 cm
2.A cylinder has a radius of 5 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 471.2 cm3

  1. V = π × r2 × h = π × 52 × 6
  2. = π × 150
  3. ≈ 471.2 cm3
3.A cylinder has a radius of 3 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 424.1 cm3

  1. V = π × r2 × h = π × 32 × 15
  2. = π × 135
  3. ≈ 424.1 cm3
4.A rectangular prism has a volume of 640 cm3. Its base is 8 cm by 10 cm. Find its height.

Answer: 8 cm

  1. Base area = 8 × 10 = 80 cm2
  2. Height = 640 ÷ 80 = 8 cm
5.A rectangular prism has a volume of 60 cm3. Its base is 6 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 6 × 5 = 30 cm2
  2. Height = 60 ÷ 30 = 2 cm
6.A cylinder has a radius of 7 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1231.5 cm3

  1. V = π × r2 × h = π × 72 × 8
  2. = π × 392
  3. ≈ 1231.5 cm3
7.A triangular prism has a triangular end with base 18 cm and height 9 cm. The prism is 14 cm long. Find its volume.

Answer: 1,134 cm3

  1. Area of the triangle = ½ × 18 × 9 = 81 cm2
  2. V = area of end × length = 81 × 14
  3. = 1,134 cm3
8.A rectangular prism has a volume of 504 cm3. Its base is 7 cm by 9 cm. Find its height.

Answer: 8 cm

  1. Base area = 7 × 9 = 63 cm2
  2. Height = 504 ÷ 63 = 8 cm
9.A triangular prism has a triangular end with base 12 cm and height 9 cm. The prism is 15 cm long. Find its volume.

Answer: 810 cm3

  1. Area of the triangle = ½ × 12 × 9 = 54 cm2
  2. V = area of end × length = 54 × 15
  3. = 810 cm3
10.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 4 cm long. Find its volume.

Answer: 288 cm3

  1. Area of the triangle = ½ × 16 × 9 = 72 cm2
  2. V = area of end × length = 72 × 4
  3. = 288 cm3
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