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Year 10 Volume of Prisms and Cylinders Worksheet — Level 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 — Answers

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

1.A rectangular prism has a volume of 210 cm3. Its base is 5 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 5 × 7 = 35 cm2
  2. Height = 210 ÷ 35 = 6 cm
2.A rectangular prism is 4 cm long, 12 cm wide and 5 cm high. Find its volume.

Answer: 240 cm3

  1. V = length × width × height = 4 × 12 × 5
  2. = 240 cm3
3.A triangular prism has a triangular end with base 16 cm and height 4 cm. The prism is 10 cm long. Find its volume.

Answer: 320 cm3

  1. Area of the triangle = ½ × 16 × 4 = 32 cm2
  2. V = area of end × length = 32 × 10
  3. = 320 cm3
4.A rectangular prism is 7 cm long, 4 cm wide and 7 cm high. Find its volume.

Answer: 196 cm3

  1. V = length × width × height = 7 × 4 × 7
  2. = 196 cm3
5.A rectangular prism has a volume of 264 cm3. Its base is 11 cm by 6 cm. Find its height.

Answer: 4 cm

  1. Base area = 11 × 6 = 66 cm2
  2. Height = 264 ÷ 66 = 4 cm
6.A rectangular prism has a volume of 108 cm3. Its base is 4 cm by 3 cm. Find its height.

Answer: 9 cm

  1. Base area = 4 × 3 = 12 cm2
  2. Height = 108 ÷ 12 = 9 cm
7.A rectangular prism has a volume of 480 cm3. Its base is 10 cm by 8 cm. Find its height.

Answer: 6 cm

  1. Base area = 10 × 8 = 80 cm2
  2. Height = 480 ÷ 80 = 6 cm
8.A triangular prism has a triangular end with base 10 cm and height 6 cm. The prism is 15 cm long. Find its volume.

Answer: 450 cm3

  1. Area of the triangle = ½ × 10 × 6 = 30 cm2
  2. V = area of end × length = 30 × 15
  3. = 450 cm3
9.A triangular prism has a triangular end with base 4 cm and height 4 cm. The prism is 13 cm long. Find its volume.

Answer: 104 cm3

  1. Area of the triangle = ½ × 4 × 4 = 8 cm2
  2. V = area of end × length = 8 × 13
  3. = 104 cm3
10.A rectangular prism has a volume of 504 cm3. Its base is 12 cm by 7 cm. Find its height.

Answer: 6 cm

  1. Base area = 12 × 7 = 84 cm2
  2. Height = 504 ÷ 84 = 6 cm
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