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Year 9 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers

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

1.A triangular prism has a triangular end with base 20 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 800 cm3

  1. Area of the triangle = ½ × 20 × 8 = 80 cm2
  2. V = area of end × length = 80 × 10
  3. = 800 cm3
2.A triangular prism has a triangular end with base 16 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 640 cm3

  1. Area of the triangle = ½ × 16 × 8 = 64 cm2
  2. V = area of end × length = 64 × 10
  3. = 640 cm3
3.A rectangular prism has a volume of 180 cm3. Its base is 10 cm by 3 cm. Find its height.

Answer: 6 cm

  1. Base area = 10 × 3 = 30 cm2
  2. Height = 180 ÷ 30 = 6 cm
4.A rectangular prism has a volume of 441 cm3. Its base is 7 cm by 9 cm. Find its height.

Answer: 7 cm

  1. Base area = 7 × 9 = 63 cm2
  2. Height = 441 ÷ 63 = 7 cm
5.A rectangular prism is 9 cm long, 4 cm wide and 8 cm high. Find its volume.

Answer: 288 cm3

  1. V = length × width × height = 9 × 4 × 8
  2. = 288 cm3
6.A triangular prism has a triangular end with base 20 cm and height 10 cm. The prism is 11 cm long. Find its volume.

Answer: 1,100 cm3

  1. Area of the triangle = ½ × 20 × 10 = 100 cm2
  2. V = area of end × length = 100 × 11
  3. = 1,100 cm3
7.A rectangular prism is 15 cm long, 7 cm wide and 10 cm high. Find its volume.

Answer: 1,050 cm3

  1. V = length × width × height = 15 × 7 × 10
  2. = 1,050 cm3
8.A rectangular prism is 7 cm long, 8 cm wide and 5 cm high. Find its volume.

Answer: 280 cm3

  1. V = length × width × height = 7 × 8 × 5
  2. = 280 cm3
9.A triangular prism has a triangular end with base 22 cm and height 4 cm. The prism is 3 cm long. Find its volume.

Answer: 132 cm3

  1. Area of the triangle = ½ × 22 × 4 = 44 cm2
  2. V = area of end × length = 44 × 3
  3. = 132 cm3
10.A rectangular prism is 13 cm long, 4 cm wide and 5 cm high. Find its volume.

Answer: 260 cm3

  1. V = length × width × height = 13 × 4 × 5
  2. = 260 cm3
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