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9th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 2 — 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 2 — Practice Set 2 — Answers

Show your work. Volume is measured in cubic units (cm³).

1.A triangular prism has a triangular end with base 22 cm and height 6 cm. The prism is 11 cm long. Find its volume.

Answer: 726 cm3

  1. Area of the triangle = ½ × 22 × 6 = 66 cm2
  2. V = area of end × length = 66 × 11
  3. = 726 cm3
2.A rectangular prism has a volume of 50 cm3. Its base is 5 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 5 = 25 cm2
  2. Height = 50 ÷ 25 = 2 cm
3.A triangular prism has a triangular end with base 10 cm and height 2 cm. The prism is 14 cm long. Find its volume.

Answer: 140 cm3

  1. Area of the triangle = ½ × 10 × 2 = 10 cm2
  2. V = area of end × length = 10 × 14
  3. = 140 cm3
4.A rectangular prism has a volume of 480 cm3. Its base is 10 cm by 8 cm. Find its height.

Answer: 6 cm

  1. Base area = 10 × 8 = 80 cm2
  2. Height = 480 ÷ 80 = 6 cm
5.A rectangular prism is 7 cm long, 7 cm wide and 7 cm high. Find its volume.

Answer: 343 cm3

  1. V = length × width × height = 7 × 7 × 7
  2. = 343 cm3
6.A triangular prism has a triangular end with base 20 cm and height 9 cm. The prism is 12 cm long. Find its volume.

Answer: 1,080 cm3

  1. Area of the triangle = ½ × 20 × 9 = 90 cm2
  2. V = area of end × length = 90 × 12
  3. = 1,080 cm3
7.A rectangular prism has a volume of 96 cm3. Its base is 4 cm by 8 cm. Find its height.

Answer: 3 cm

  1. Base area = 4 × 8 = 32 cm2
  2. Height = 96 ÷ 32 = 3 cm
8.A rectangular prism is 5 cm long, 6 cm wide and 4 cm high. Find its volume.

Answer: 120 cm3

  1. V = length × width × height = 5 × 6 × 4
  2. = 120 cm3
9.A rectangular prism has a volume of 75 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 5 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 75 ÷ 15 = 5 cm
10.A rectangular prism is 2 cm long, 3 cm wide and 5 cm high. Find its volume.

Answer: 30 cm3

  1. V = length × width × height = 2 × 3 × 5
  2. = 30 cm3
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