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Year 10 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 10 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Volume & Capacity

Year 10 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 18 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 324 cm3

  1. Area of the triangle = ½ × 18 × 3 = 27 cm2
  2. V = area of end × length = 27 × 12
  3. = 324 cm3
2.A rectangular prism has a volume of 405 cm3. Its base is 5 cm by 9 cm. Find its height.

Answer: 9 cm

  1. Base area = 5 × 9 = 45 cm2
  2. Height = 405 ÷ 45 = 9 cm
3.A triangular prism has a triangular end with base 20 cm and height 5 cm. The prism is 13 cm long. Find its volume.

Answer: 650 cm3

  1. Area of the triangle = ½ × 20 × 5 = 50 cm2
  2. V = area of end × length = 50 × 13
  3. = 650 cm3
4.A rectangular prism has a volume of 24 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 2 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 24 ÷ 12 = 2 cm
5.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 7 cm long. Find its volume.

Answer: 84 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 7
  3. = 84 cm3
6.A rectangular prism is 6 cm long, 12 cm wide and 6 cm high. Find its volume.

Answer: 432 cm3

  1. V = length × width × height = 6 × 12 × 6
  2. = 432 cm3
7.A rectangular prism is 4 cm long, 3 cm wide and 4 cm high. Find its volume.

Answer: 48 cm3

  1. V = length × width × height = 4 × 3 × 4
  2. = 48 cm3
8.A triangular prism has a triangular end with base 4 cm and height 5 cm. The prism is 12 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 4 × 5 = 10 cm2
  2. V = area of end × length = 10 × 12
  3. = 120 cm3
9.A rectangular prism has a volume of 140 cm3. Its base is 7 cm by 5 cm. Find its height.

Answer: 4 cm

  1. Base area = 7 × 5 = 35 cm2
  2. Height = 140 ÷ 35 = 4 cm
10.A rectangular prism has a volume of 100 cm3. Its base is 10 cm by 2 cm. Find its height.

Answer: 5 cm

  1. Base area = 10 × 2 = 20 cm2
  2. Height = 100 ÷ 20 = 5 cm
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