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Year 9 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Volume & Capacity

Year 9 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers

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

1.A rectangular prism has a volume of 720 cm3. Its base is 12 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 12 × 10 = 120 cm2
  2. Height = 720 ÷ 120 = 6 cm
2.A triangular prism has a triangular end with base 22 cm and height 5 cm. The prism is 12 cm long. Find its volume.

Answer: 660 cm3

  1. Area of the triangle = ½ × 22 × 5 = 55 cm2
  2. V = area of end × length = 55 × 12
  3. = 660 cm3
3.A rectangular prism is 7 cm long, 8 cm wide and 9 cm high. Find its volume.

Answer: 504 cm3

  1. V = length × width × height = 7 × 8 × 9
  2. = 504 cm3
4.A rectangular prism has a volume of 280 cm3. Its base is 8 cm by 7 cm. Find its height.

Answer: 5 cm

  1. Base area = 8 × 7 = 56 cm2
  2. Height = 280 ÷ 56 = 5 cm
5.A triangular prism has a triangular end with base 14 cm and height 9 cm. The prism is 11 cm long. Find its volume.

Answer: 693 cm3

  1. Area of the triangle = ½ × 14 × 9 = 63 cm2
  2. V = area of end × length = 63 × 11
  3. = 693 cm3
6.A rectangular prism is 15 cm long, 7 cm wide and 2 cm high. Find its volume.

Answer: 210 cm3

  1. V = length × width × height = 15 × 7 × 2
  2. = 210 cm3
7.A rectangular prism is 11 cm long, 5 cm wide and 9 cm high. Find its volume.

Answer: 495 cm3

  1. V = length × width × height = 11 × 5 × 9
  2. = 495 cm3
8.A triangular prism has a triangular end with base 20 cm and height 2 cm. The prism is 12 cm long. Find its volume.

Answer: 240 cm3

  1. Area of the triangle = ½ × 20 × 2 = 20 cm2
  2. V = area of end × length = 20 × 12
  3. = 240 cm3
9.A rectangular prism is 14 cm long, 9 cm wide and 10 cm high. Find its volume.

Answer: 1,260 cm3

  1. V = length × width × height = 14 × 9 × 10
  2. = 1,260 cm3
10.A triangular prism has a triangular end with base 18 cm and height 3 cm. The prism is 4 cm long. Find its volume.

Answer: 108 cm3

  1. Area of the triangle = ½ × 18 × 3 = 27 cm2
  2. V = area of end × length = 27 × 4
  3. = 108 cm3
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