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8th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 8th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Volume & Capacity

8th 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 cylinder has a radius of 2 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 88.0 cm3

  1. V = π × r2 × h = π × 22 × 7
  2. = π × 28
  3. ≈ 88.0 cm3
2.A triangular prism has a triangular end with base 10 cm and height 7 cm. The prism is 8 cm long. Find its volume.

Answer: 280 cm3

  1. Area of the triangle = ½ × 10 × 7 = 35 cm2
  2. V = area of end × length = 35 × 8
  3. = 280 cm3
3.A cylinder has a radius of 5 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 549.8 cm3

  1. V = π × r2 × h = π × 52 × 7
  2. = π × 175
  3. ≈ 549.8 cm3
4.A rectangular prism has a volume of 300 cm3. Its base is 10 cm by 6 cm. Find its height.

Answer: 5 cm

  1. Base area = 10 × 6 = 60 cm2
  2. Height = 300 ÷ 60 = 5 cm
5.A triangular prism has a triangular end with base 16 cm and height 3 cm. The prism is 11 cm long. Find its volume.

Answer: 264 cm3

  1. Area of the triangle = ½ × 16 × 3 = 24 cm2
  2. V = area of end × length = 24 × 11
  3. = 264 cm3
6.A rectangular prism has a volume of 90 cm3. Its base is 3 cm by 10 cm. Find its height.

Answer: 3 cm

  1. Base area = 3 × 10 = 30 cm2
  2. Height = 90 ÷ 30 = 3 cm
7.A rectangular prism has a volume of 120 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 8 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 120 ÷ 15 = 8 cm
8.A triangular prism has a triangular end with base 16 cm and height 5 cm. The prism is 8 cm long. Find its volume.

Answer: 320 cm3

  1. Area of the triangle = ½ × 16 × 5 = 40 cm2
  2. V = area of end × length = 40 × 8
  3. = 320 cm3
9.A cylinder has a radius of 4 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 150.8 cm3

  1. V = π × r2 × h = π × 42 × 3
  2. = π × 48
  3. ≈ 150.8 cm3
10.A cylinder has a radius of 9 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 4834.9 cm3

  1. V = π × r2 × h = π × 92 × 19
  2. = π × 1539
  3. ≈ 4834.9 cm3
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