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Year 8 Volume of Prisms and Cylinders Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 8 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Volume & Capacity

Year 8 Volume of Prisms and Cylinders Worksheet — Level 2 — Answers

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

1.A rectangular prism is 13 cm long, 2 cm wide and 6 cm high. Find its volume.

Answer: 156 cm3

  1. V = length × width × height = 13 × 2 × 6
  2. = 156 cm3
2.A triangular prism has a triangular end with base 8 cm and height 7 cm. The prism is 11 cm long. Find its volume.

Answer: 308 cm3

  1. Area of the triangle = ½ × 8 × 7 = 28 cm2
  2. V = area of end × length = 28 × 11
  3. = 308 cm3
3.A rectangular prism is 7 cm long, 5 cm wide and 10 cm high. Find its volume.

Answer: 350 cm3

  1. V = length × width × height = 7 × 5 × 10
  2. = 350 cm3
4.A triangular prism has a triangular end with base 8 cm and height 10 cm. The prism is 12 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 8 × 10 = 40 cm2
  2. V = area of end × length = 40 × 12
  3. = 480 cm3
5.A triangular prism has a triangular end with base 4 cm and height 10 cm. The prism is 5 cm long. Find its volume.

Answer: 100 cm3

  1. Area of the triangle = ½ × 4 × 10 = 20 cm2
  2. V = area of end × length = 20 × 5
  3. = 100 cm3
6.A rectangular prism has a volume of 252 cm3. Its base is 6 cm by 6 cm. Find its height.

Answer: 7 cm

  1. Base area = 6 × 6 = 36 cm2
  2. Height = 252 ÷ 36 = 7 cm
7.A rectangular prism has a volume of 50 cm3. Its base is 5 cm by 2 cm. Find its height.

Answer: 5 cm

  1. Base area = 5 × 2 = 10 cm2
  2. Height = 50 ÷ 10 = 5 cm
8.A rectangular prism has a volume of 550 cm3. Its base is 11 cm by 10 cm. Find its height.

Answer: 5 cm

  1. Base area = 11 × 10 = 110 cm2
  2. Height = 550 ÷ 110 = 5 cm
9.A triangular prism has a triangular end with base 16 cm and height 4 cm. The prism is 4 cm long. Find its volume.

Answer: 128 cm3

  1. Area of the triangle = ½ × 16 × 4 = 32 cm2
  2. V = area of end × length = 32 × 4
  3. = 128 cm3
10.A rectangular prism has a volume of 36 cm3. Its base is 3 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 3 × 2 = 6 cm2
  2. Height = 36 ÷ 6 = 6 cm
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