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6th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — 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 — 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 720 cm3. Its base is 12 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 12 × 10 = 120 cm2
  2. Height = 720 ÷ 120 = 6 cm
2.A triangular prism has a triangular end with base 4 cm and height 7 cm. The prism is 14 cm long. Find its volume.

Answer: 196 cm3

  1. Area of the triangle = ½ × 4 × 7 = 14 cm2
  2. V = area of end × length = 14 × 14
  3. = 196 cm3
3.A rectangular prism has a volume of 84 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 84 ÷ 28 = 3 cm
4.A rectangular prism has a volume of 243 cm3. Its base is 9 cm by 3 cm. Find its height.

Answer: 9 cm

  1. Base area = 9 × 3 = 27 cm2
  2. Height = 243 ÷ 27 = 9 cm
5.A triangular prism has a triangular end with base 4 cm and height 4 cm. The prism is 7 cm long. Find its volume.

Answer: 56 cm3

  1. Area of the triangle = ½ × 4 × 4 = 8 cm2
  2. V = area of end × length = 8 × 7
  3. = 56 cm3
6.A rectangular prism has a volume of 88 cm3. Its base is 11 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 11 × 4 = 44 cm2
  2. Height = 88 ÷ 44 = 2 cm
7.A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 502.7 cm3

  1. V = π × r2 × h = π × 42 × 10
  2. = π × 160
  3. ≈ 502.7 cm3
8.A rectangular prism has a volume of 504 cm3. Its base is 8 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 8 × 9 = 72 cm2
  2. Height = 504 ÷ 72 = 7 cm
9.A rectangular prism has a volume of 108 cm3. Its base is 3 cm by 4 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 4 = 12 cm2
  2. Height = 108 ÷ 12 = 9 cm
10.A rectangular prism has a volume of 98 cm3. Its base is 7 cm by 7 cm. Find its height.

Answer: 2 cm

  1. Base area = 7 × 7 = 49 cm2
  2. Height = 98 ÷ 49 = 2 cm
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