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

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

1.A rectangular prism is 15 cm long, 6 cm wide and 4 cm high. Find its volume.

Answer: 360 cm3

  1. V = length × width × height = 15 × 6 × 4
  2. = 360 cm3
2.A triangular prism has a triangular end with base 6 cm and height 5 cm. The prism is 13 cm long. Find its volume.

Answer: 195 cm3

  1. Area of the triangle = ½ × 6 × 5 = 15 cm2
  2. V = area of end × length = 15 × 13
  3. = 195 cm3
3.A triangular prism has a triangular end with base 4 cm and height 7 cm. The prism is 13 cm long. Find its volume.

Answer: 182 cm3

  1. Area of the triangle = ½ × 4 × 7 = 14 cm2
  2. V = area of end × length = 14 × 13
  3. = 182 cm3
4.A rectangular prism has a volume of 495 cm3. Its base is 11 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 11 × 5 = 55 cm2
  2. Height = 495 ÷ 55 = 9 cm
5.A rectangular prism is 13 cm long, 5 cm wide and 9 cm high. Find its volume.

Answer: 585 cm3

  1. V = length × width × height = 13 × 5 × 9
  2. = 585 cm3
6.A rectangular prism has a volume of 105 cm3. Its base is 7 cm by 3 cm. Find its height.

Answer: 5 cm

  1. Base area = 7 × 3 = 21 cm2
  2. Height = 105 ÷ 21 = 5 cm
7.A triangular prism has a triangular end with base 18 cm and height 7 cm. The prism is 9 cm long. Find its volume.

Answer: 567 cm3

  1. Area of the triangle = ½ × 18 × 7 = 63 cm2
  2. V = area of end × length = 63 × 9
  3. = 567 cm3
8.A rectangular prism has a volume of 126 cm3. Its base is 3 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 7 = 21 cm2
  2. Height = 126 ÷ 21 = 6 cm
9.A rectangular prism is 7 cm long, 8 cm wide and 3 cm high. Find its volume.

Answer: 168 cm3

  1. V = length × width × height = 7 × 8 × 3
  2. = 168 cm3
10.A triangular prism has a triangular end with base 8 cm and height 2 cm. The prism is 12 cm long. Find its volume.

Answer: 96 cm3

  1. Area of the triangle = ½ × 8 × 2 = 8 cm2
  2. V = area of end × length = 8 × 12
  3. = 96 cm3
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