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Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 5 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Volume & Capacity

Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 441 cm3. Its base is 7 cm by 7 cm. Find its height.

Answer: 9 cm

  1. Base area = 7 × 7 = 49 cm2
  2. Height = 441 ÷ 49 = 9 cm
2.A rectangular prism has a volume of 200 cm3. Its base is 8 cm by 5 cm. Find its height.

Answer: 5 cm

  1. Base area = 8 × 5 = 40 cm2
  2. Height = 200 ÷ 40 = 5 cm
3.A triangular prism has a triangular end with base 4 cm and height 10 cm. The prism is 6 cm long. Find its volume.

Answer: 120 cm3

  1. Area of the triangle = ½ × 4 × 10 = 20 cm2
  2. V = area of end × length = 20 × 6
  3. = 120 cm3
4.A triangular prism has a triangular end with base 20 cm and height 10 cm. The prism is 11 cm long. Find its volume.

Answer: 1,100 cm3

  1. Area of the triangle = ½ × 20 × 10 = 100 cm2
  2. V = area of end × length = 100 × 11
  3. = 1,100 cm3
5.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 3 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 16 × 6 = 48 cm2
  2. V = area of end × length = 48 × 3
  3. = 144 cm3
6.A rectangular prism has a volume of 168 cm3. Its base is 3 cm by 8 cm. Find its height.

Answer: 7 cm

  1. Base area = 3 × 8 = 24 cm2
  2. Height = 168 ÷ 24 = 7 cm
7.A cylinder has a radius of 8 cm and a height of 10 cm. Find its volume, correct to 1 decimal place.

Answer: 2010.6 cm3

  1. V = π × r2 × h = π × 82 × 10
  2. = π × 640
  3. ≈ 2010.6 cm3
8.A triangular prism has a triangular end with base 6 cm and height 10 cm. The prism is 13 cm long. Find its volume.

Answer: 390 cm3

  1. Area of the triangle = ½ × 6 × 10 = 30 cm2
  2. V = area of end × length = 30 × 13
  3. = 390 cm3
9.A cylinder has a radius of 8 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 1608.5 cm3

  1. V = π × r2 × h = π × 82 × 8
  2. = π × 512
  3. ≈ 1608.5 cm3
10.A triangular prism has a triangular end with base 12 cm and height 4 cm. The prism is 10 cm long. Find its volume.

Answer: 240 cm3

  1. Area of the triangle = ½ × 12 × 4 = 24 cm2
  2. V = area of end × length = 24 × 10
  3. = 240 cm3
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