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

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

1.A rectangular prism is 14 cm long, 8 cm wide and 8 cm high. Find its volume.

Answer: 896 cm3

  1. V = length × width × height = 14 × 8 × 8
  2. = 896 cm3
2.A rectangular prism has a volume of 240 cm3. Its base is 6 cm by 5 cm. Find its height.

Answer: 8 cm

  1. Base area = 6 × 5 = 30 cm2
  2. Height = 240 ÷ 30 = 8 cm
3.A triangular prism has a triangular end with base 4 cm and height 10 cm. The prism is 7 cm long. Find its volume.

Answer: 140 cm3

  1. Area of the triangle = ½ × 4 × 10 = 20 cm2
  2. V = area of end × length = 20 × 7
  3. = 140 cm3
4.A rectangular prism has a volume of 56 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 56 ÷ 28 = 2 cm
5.A rectangular prism has a volume of 250 cm3. Its base is 5 cm by 10 cm. Find its height.

Answer: 5 cm

  1. Base area = 5 × 10 = 50 cm2
  2. Height = 250 ÷ 50 = 5 cm
6.A rectangular prism is 2 cm long, 4 cm wide and 5 cm high. Find its volume.

Answer: 40 cm3

  1. V = length × width × height = 2 × 4 × 5
  2. = 40 cm3
7.A triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 8 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 18 × 2 = 18 cm2
  2. V = area of end × length = 18 × 8
  3. = 144 cm3
8.A triangular prism has a triangular end with base 20 cm and height 3 cm. The prism is 3 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 20 × 3 = 30 cm2
  2. V = area of end × length = 30 × 3
  3. = 90 cm3
9.A rectangular prism has a volume of 135 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 135 ÷ 15 = 9 cm
10.A rectangular prism is 11 cm long, 7 cm wide and 7 cm high. Find its volume.

Answer: 539 cm3

  1. V = length × width × height = 11 × 7 × 7
  2. = 539 cm3
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