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

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

1.A rectangular prism is 13 cm long, 10 cm wide and 2 cm high. Find its volume.

Answer: 260 cm3

  1. V = length × width × height = 13 × 10 × 2
  2. = 260 cm3
2.A rectangular prism has a volume of 180 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 180 ÷ 20 = 9 cm
3.A rectangular prism is 10 cm long, 6 cm wide and 6 cm high. Find its volume.

Answer: 360 cm3

  1. V = length × width × height = 10 × 6 × 6
  2. = 360 cm3
4.A rectangular prism has a volume of 400 cm3. Its base is 10 cm by 5 cm. Find its height.

Answer: 8 cm

  1. Base area = 10 × 5 = 50 cm2
  2. Height = 400 ÷ 50 = 8 cm
5.A triangular prism has a triangular end with base 4 cm and height 10 cm. The prism is 9 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 4 × 10 = 20 cm2
  2. V = area of end × length = 20 × 9
  3. = 180 cm3
6.A rectangular prism has a volume of 252 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 9 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 252 ÷ 28 = 9 cm
7.A triangular prism has a triangular end with base 10 cm and height 10 cm. The prism is 7 cm long. Find its volume.

Answer: 350 cm3

  1. Area of the triangle = ½ × 10 × 10 = 50 cm2
  2. V = area of end × length = 50 × 7
  3. = 350 cm3
8.A triangular prism has a triangular end with base 22 cm and height 7 cm. The prism is 14 cm long. Find its volume.

Answer: 1,078 cm3

  1. Area of the triangle = ½ × 22 × 7 = 77 cm2
  2. V = area of end × length = 77 × 14
  3. = 1,078 cm3
9.A rectangular prism has a volume of 60 cm3. Its base is 10 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 10 × 3 = 30 cm2
  2. Height = 60 ÷ 30 = 2 cm
10.A rectangular prism is 4 cm long, 11 cm wide and 10 cm high. Find its volume.

Answer: 440 cm3

  1. V = length × width × height = 4 × 11 × 10
  2. = 440 cm3
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