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6th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 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 64 cm3. Its base is 4 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 4 × 2 = 8 cm2
  2. Height = 64 ÷ 8 = 8 cm
2.A triangular prism has a triangular end with base 4 cm and height 6 cm. The prism is 4 cm long. Find its volume.

Answer: 48 cm3

  1. Area of the triangle = ½ × 4 × 6 = 12 cm2
  2. V = area of end × length = 12 × 4
  3. = 48 cm3
3.A triangular prism has a triangular end with base 14 cm and height 2 cm. The prism is 8 cm long. Find its volume.

Answer: 112 cm3

  1. Area of the triangle = ½ × 14 × 2 = 14 cm2
  2. V = area of end × length = 14 × 8
  3. = 112 cm3
4.A triangular prism has a triangular end with base 18 cm and height 10 cm. The prism is 8 cm long. Find its volume.

Answer: 720 cm3

  1. Area of the triangle = ½ × 18 × 10 = 90 cm2
  2. V = area of end × length = 90 × 8
  3. = 720 cm3
5.A cylinder has a radius of 7 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 769.7 cm3

  1. V = π × r2 × h = π × 72 × 5
  2. = π × 245
  3. ≈ 769.7 cm3
6.A rectangular prism has a volume of 700 cm3. Its base is 10 cm by 10 cm. Find its height.

Answer: 7 cm

  1. Base area = 10 × 10 = 100 cm2
  2. Height = 700 ÷ 100 = 7 cm
7.A triangular prism has a triangular end with base 12 cm and height 4 cm. The prism is 5 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 12 × 4 = 24 cm2
  2. V = area of end × length = 24 × 5
  3. = 120 cm3
8.A rectangular prism has a volume of 240 cm3. Its base is 5 cm by 6 cm. Find its height.

Answer: 8 cm

  1. Base area = 5 × 6 = 30 cm2
  2. Height = 240 ÷ 30 = 8 cm
9.A cylinder has a radius of 8 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 3619.1 cm3

  1. V = π × r2 × h = π × 82 × 18
  2. = π × 1152
  3. ≈ 3619.1 cm3
10.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 7 cm long. Find its volume.

Answer: 42 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 7
  3. = 42 cm3
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