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Year 6 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 6 volume & capacity worksheet.

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & Capacity

Year 6 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 has a volume of 198 cm3. Its base is 11 cm by 6 cm. Find its height.

Answer: 3 cm

  1. Base area = 11 × 6 = 66 cm2
  2. Height = 198 ÷ 66 = 3 cm
2.A rectangular prism is 8 cm long, 12 cm wide and 10 cm high. Find its volume.

Answer: 960 cm3

  1. V = length × width × height = 8 × 12 × 10
  2. = 960 cm3
3.A rectangular prism is 9 cm long, 9 cm wide and 9 cm high. Find its volume.

Answer: 729 cm3

  1. V = length × width × height = 9 × 9 × 9
  2. = 729 cm3
4.A triangular prism has a triangular end with base 22 cm and height 6 cm. The prism is 9 cm long. Find its volume.

Answer: 594 cm3

  1. Area of the triangle = ½ × 22 × 6 = 66 cm2
  2. V = area of end × length = 66 × 9
  3. = 594 cm3
5.A rectangular prism is 7 cm long, 12 cm wide and 7 cm high. Find its volume.

Answer: 588 cm3

  1. V = length × width × height = 7 × 12 × 7
  2. = 588 cm3
6.A rectangular prism is 7 cm long, 3 cm wide and 9 cm high. Find its volume.

Answer: 189 cm3

  1. V = length × width × height = 7 × 3 × 9
  2. = 189 cm3
7.A rectangular prism is 4 cm long, 4 cm wide and 9 cm high. Find its volume.

Answer: 144 cm3

  1. V = length × width × height = 4 × 4 × 9
  2. = 144 cm3
8.A rectangular prism is 9 cm long, 7 cm wide and 3 cm high. Find its volume.

Answer: 189 cm3

  1. V = length × width × height = 9 × 7 × 3
  2. = 189 cm3
9.A rectangular prism is 10 cm long, 3 cm wide and 2 cm high. Find its volume.

Answer: 60 cm3

  1. V = length × width × height = 10 × 3 × 2
  2. = 60 cm3
10.A rectangular prism has a volume of 60 cm3. Its base is 5 cm by 4 cm. Find its height.

Answer: 3 cm

  1. Base area = 5 × 4 = 20 cm2
  2. Height = 60 ÷ 20 = 3 cm
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