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8th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers

Show your work. Use the π button on your calculator and round to 1 decimal place.

1.A triangular prism has a triangular end with base 24 cm and height 8 cm. The prism is 12 cm long. Find its volume.

Answer: 1,152 cm3

  1. Area of the triangle = ½ × 24 × 8 = 96 cm2
  2. V = area of end × length = 96 × 12
  3. = 1,152 cm3
2.A triangular prism has a triangular end with base 24 cm and height 2 cm. The prism is 3 cm long. Find its volume.

Answer: 72 cm3

  1. Area of the triangle = ½ × 24 × 2 = 24 cm2
  2. V = area of end × length = 24 × 3
  3. = 72 cm3
3.A cylinder has a radius of 7 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 1077.6 cm3

  1. V = π × r2 × h = π × 72 × 7
  2. = π × 343
  3. ≈ 1077.6 cm3
4.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 8 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 8
  3. = 96 cm3
5.A rectangular prism has a volume of 360 cm3. Its base is 10 cm by 4 cm. Find its height.

Answer: 9 cm

  1. Base area = 10 × 4 = 40 cm2
  2. Height = 360 ÷ 40 = 9 cm
6.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
7.A triangular prism has a triangular end with base 18 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 324 cm3

  1. Area of the triangle = ½ × 18 × 3 = 27 cm2
  2. V = area of end × length = 27 × 12
  3. = 324 cm3
8.A triangular prism has a triangular end with base 8 cm and height 4 cm. The prism is 12 cm long. Find its volume.

Answer: 192 cm3

  1. Area of the triangle = ½ × 8 × 4 = 16 cm2
  2. V = area of end × length = 16 × 12
  3. = 192 cm3
9.A triangular prism has a triangular end with base 20 cm and height 8 cm. The prism is 5 cm long. Find its volume.

Answer: 400 cm3

  1. Area of the triangle = ½ × 20 × 8 = 80 cm2
  2. V = area of end × length = 80 × 5
  3. = 400 cm3
10.A cylinder has a radius of 3 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 339.3 cm3

  1. V = π × r2 × h = π × 32 × 12
  2. = π × 108
  3. ≈ 339.3 cm3
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