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7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 7th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Volume & Capacity

7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — 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 14 cm and height 4 cm. The prism is 14 cm long. Find its volume.

Answer: 392 cm3

  1. Area of the triangle = ½ × 14 × 4 = 28 cm2
  2. V = area of end × length = 28 × 14
  3. = 392 cm3
2.A triangular prism has a triangular end with base 20 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 1,200 cm3

  1. Area of the triangle = ½ × 20 × 8 = 80 cm2
  2. V = area of end × length = 80 × 15
  3. = 1,200 cm3
3.A rectangular prism has a volume of 132 cm3. Its base is 11 cm by 4 cm. Find its height.

Answer: 3 cm

  1. Base area = 11 × 4 = 44 cm2
  2. Height = 132 ÷ 44 = 3 cm
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 triangular prism has a triangular end with base 12 cm and height 3 cm. The prism is 13 cm long. Find its volume.

Answer: 234 cm3

  1. Area of the triangle = ½ × 12 × 3 = 18 cm2
  2. V = area of end × length = 18 × 13
  3. = 234 cm3
6.A cylinder has a radius of 6 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 1809.6 cm3

  1. V = π × r2 × h = π × 62 × 16
  2. = π × 576
  3. ≈ 1809.6 cm3
7.A triangular prism has a triangular end with base 14 cm and height 7 cm. The prism is 15 cm long. Find its volume.

Answer: 735 cm3

  1. Area of the triangle = ½ × 14 × 7 = 49 cm2
  2. V = area of end × length = 49 × 15
  3. = 735 cm3
8.A rectangular prism has a volume of 96 cm3. Its base is 3 cm by 4 cm. Find its height.

Answer: 8 cm

  1. Base area = 3 × 4 = 12 cm2
  2. Height = 96 ÷ 12 = 8 cm
9.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 3 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 16 × 6 = 48 cm2
  2. V = area of end × length = 48 × 3
  3. = 144 cm3
10.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 7 cm long. Find its volume.

Answer: 42 cm3

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