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Year 7 Volume of Prisms and Cylinders Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 7 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 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 144 cm3. Its base is 4 cm by 6 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 6 = 24 cm2
  2. Height = 144 ÷ 24 = 6 cm
2.A rectangular prism has a volume of 100 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 5 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 100 ÷ 20 = 5 cm
3.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
4.A rectangular prism is 10 cm long, 3 cm wide and 8 cm high. Find its volume.

Answer: 240 cm3

  1. V = length × width × height = 10 × 3 × 8
  2. = 240 cm3
5.A rectangular prism has a volume of 972 cm3. Its base is 12 cm by 9 cm. Find its height.

Answer: 9 cm

  1. Base area = 12 × 9 = 108 cm2
  2. Height = 972 ÷ 108 = 9 cm
6.A triangular prism has a triangular end with base 18 cm and height 8 cm. The prism is 6 cm long. Find its volume.

Answer: 432 cm3

  1. Area of the triangle = ½ × 18 × 8 = 72 cm2
  2. V = area of end × length = 72 × 6
  3. = 432 cm3
7.A rectangular prism is 4 cm long, 4 cm wide and 10 cm high. Find its volume.

Answer: 160 cm3

  1. V = length × width × height = 4 × 4 × 10
  2. = 160 cm3
8.A rectangular prism has a volume of 256 cm3. Its base is 4 cm by 8 cm. Find its height.

Answer: 8 cm

  1. Base area = 4 × 8 = 32 cm2
  2. Height = 256 ÷ 32 = 8 cm
9.A triangular prism has a triangular end with base 20 cm and height 2 cm. The prism is 6 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 20 × 2 = 20 cm2
  2. V = area of end × length = 20 × 6
  3. = 120 cm3
10.A rectangular prism is 5 cm long, 7 cm wide and 5 cm high. Find its volume.

Answer: 175 cm3

  1. V = length × width × height = 5 × 7 × 5
  2. = 175 cm3
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