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9th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Volume & Capacity

9th 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 150 cm3. Its base is 5 cm by 5 cm. Find its height.

Answer: 6 cm

  1. Base area = 5 × 5 = 25 cm2
  2. Height = 150 ÷ 25 = 6 cm
2.A rectangular prism has a volume of 270 cm3. Its base is 3 cm by 10 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 10 = 30 cm2
  2. Height = 270 ÷ 30 = 9 cm
3.A cylinder has a radius of 2 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 201.1 cm3

  1. V = π × r2 × h = π × 22 × 16
  2. = π × 64
  3. ≈ 201.1 cm3
4.A rectangular prism has a volume of 189 cm3. Its base is 7 cm by 3 cm. Find its height.

Answer: 9 cm

  1. Base area = 7 × 3 = 21 cm2
  2. Height = 189 ÷ 21 = 9 cm
5.A rectangular prism has a volume of 81 cm3. Its base is 9 cm by 3 cm. Find its height.

Answer: 3 cm

  1. Base area = 9 × 3 = 27 cm2
  2. Height = 81 ÷ 27 = 3 cm
6.A triangular prism has a triangular end with base 20 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 300 cm3

  1. Area of the triangle = ½ × 20 × 2 = 20 cm2
  2. V = area of end × length = 20 × 15
  3. = 300 cm3
7.A cylinder has a radius of 8 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 2613.8 cm3

  1. V = π × r2 × h = π × 82 × 13
  2. = π × 832
  3. ≈ 2613.8 cm3
8.A cylinder has a radius of 3 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 226.2 cm3

  1. V = π × r2 × h = π × 32 × 8
  2. = π × 72
  3. ≈ 226.2 cm3
9.A rectangular prism has a volume of 216 cm3. Its base is 4 cm by 6 cm. Find its height.

Answer: 9 cm

  1. Base area = 4 × 6 = 24 cm2
  2. Height = 216 ÷ 24 = 9 cm
10.A triangular prism has a triangular end with base 10 cm and height 8 cm. The prism is 12 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 10 × 8 = 40 cm2
  2. V = area of end × length = 40 × 12
  3. = 480 cm3
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