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

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

1.A triangular prism has a triangular end with base 8 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 8 × 8 = 32 cm2
  2. V = area of end × length = 32 × 15
  3. = 480 cm3
2.A rectangular prism is 9 cm long, 2 cm wide and 9 cm high. Find its volume.

Answer: 162 cm3

  1. V = length × width × height = 9 × 2 × 9
  2. = 162 cm3
3.A rectangular prism has a volume of 168 cm3. Its base is 7 cm by 3 cm. Find its height.

Answer: 8 cm

  1. Base area = 7 × 3 = 21 cm2
  2. Height = 168 ÷ 21 = 8 cm
4.A rectangular prism has a volume of 432 cm3. Its base is 12 cm by 6 cm. Find its height.

Answer: 6 cm

  1. Base area = 12 × 6 = 72 cm2
  2. Height = 432 ÷ 72 = 6 cm
5.A rectangular prism is 3 cm long, 5 cm wide and 4 cm high. Find its volume.

Answer: 60 cm3

  1. V = length × width × height = 3 × 5 × 4
  2. = 60 cm3
6.A rectangular prism has a volume of 128 cm3. Its base is 4 cm by 4 cm. Find its height.

Answer: 8 cm

  1. Base area = 4 × 4 = 16 cm2
  2. Height = 128 ÷ 16 = 8 cm
7.A triangular prism has a triangular end with base 8 cm and height 3 cm. The prism is 10 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 8 × 3 = 12 cm2
  2. V = area of end × length = 12 × 10
  3. = 120 cm3
8.A rectangular prism is 10 cm long, 9 cm wide and 5 cm high. Find its volume.

Answer: 450 cm3

  1. V = length × width × height = 10 × 9 × 5
  2. = 450 cm3
9.A rectangular prism has a volume of 210 cm3. Its base is 7 cm by 10 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 10 = 70 cm2
  2. Height = 210 ÷ 70 = 3 cm
10.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
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