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6th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 6th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Volume & Capacity

6th 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 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
2.A cylinder has a radius of 4 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 402.1 cm3

  1. V = π × r2 × h = π × 42 × 8
  2. = π × 128
  3. ≈ 402.1 cm3
3.A cylinder has a radius of 3 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 282.7 cm3

  1. V = π × r2 × h = π × 32 × 10
  2. = π × 90
  3. ≈ 282.7 cm3
4.A cylinder has a radius of 4 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 703.7 cm3

  1. V = π × r2 × h = π × 42 × 14
  2. = π × 224
  3. ≈ 703.7 cm3
5.A cylinder has a radius of 4 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 251.3 cm3

  1. V = π × r2 × h = π × 42 × 5
  2. = π × 80
  3. ≈ 251.3 cm3
6.A cylinder has a radius of 4 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 955.0 cm3

  1. V = π × r2 × h = π × 42 × 19
  2. = π × 304
  3. ≈ 955.0 cm3
7.A rectangular prism has a volume of 126 cm3. Its base is 9 cm by 7 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 7 = 63 cm2
  2. Height = 126 ÷ 63 = 2 cm
8.A rectangular prism has a volume of 42 cm3. Its base is 7 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 2 = 14 cm2
  2. Height = 42 ÷ 14 = 3 cm
9.A cylinder has a radius of 2 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 50.3 cm3

  1. V = π × r2 × h = π × 22 × 4
  2. = π × 16
  3. ≈ 50.3 cm3
10.A cylinder has a radius of 5 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 1335.2 cm3

  1. V = π × r2 × h = π × 52 × 17
  2. = π × 425
  3. ≈ 1335.2 cm3
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