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Year 8 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 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 3 — Practice Set 2 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A rectangular prism has a volume of 192 cm3. Its base is 8 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 8 × 4 = 32 cm2
  2. Height = 192 ÷ 32 = 6 cm
2.A triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 5 cm long. Find its volume.

Answer: 350 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 5
  3. = 350 cm3
3.A rectangular prism has a volume of 30 cm3. Its base is 5 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 3 = 15 cm2
  2. Height = 30 ÷ 15 = 2 cm
4.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 13 cm long. Find its volume.

Answer: 429 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 13
  3. = 429 cm3
5.A triangular prism has a triangular end with base 4 cm and height 5 cm. The prism is 9 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 4 × 5 = 10 cm2
  2. V = area of end × length = 10 × 9
  3. = 90 cm3
6.A rectangular prism has a volume of 108 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 9 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 108 ÷ 12 = 9 cm
7.A triangular prism has a triangular end with base 6 cm and height 5 cm. The prism is 9 cm long. Find its volume.

Answer: 135 cm3

  1. Area of the triangle = ½ × 6 × 5 = 15 cm2
  2. V = area of end × length = 15 × 9
  3. = 135 cm3
8.A triangular prism has a triangular end with base 10 cm and height 10 cm. The prism is 10 cm long. Find its volume.

Answer: 500 cm3

  1. Area of the triangle = ½ × 10 × 10 = 50 cm2
  2. V = area of end × length = 50 × 10
  3. = 500 cm3
9.A rectangular prism has a volume of 135 cm3. Its base is 5 cm by 3 cm. Find its height.

Answer: 9 cm

  1. Base area = 5 × 3 = 15 cm2
  2. Height = 135 ÷ 15 = 9 cm
10.A triangular prism has a triangular end with base 12 cm and height 3 cm. The prism is 13 cm long. Find its volume.

Answer: 234 cm3

  1. Area of the triangle = ½ × 12 × 3 = 18 cm2
  2. V = area of end × length = 18 × 13
  3. = 234 cm3
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