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Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.A triangular prism has a triangular end with base 14 cm and height 7 cm. The prism is 6 cm long. Find its volume.

Answer: 294 cm3

  1. Area of the triangle = ½ × 14 × 7 = 49 cm2
  2. V = area of end × length = 49 × 6
  3. = 294 cm3
2.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 72 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 12
  3. = 72 cm3
3.A rectangular prism has a volume of 24 cm3. Its base is 4 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 4 × 2 = 8 cm2
  2. Height = 24 ÷ 8 = 3 cm
4.A triangular prism has a triangular end with base 22 cm and height 4 cm. The prism is 15 cm long. Find its volume.

Answer: 660 cm3

  1. Area of the triangle = ½ × 22 × 4 = 44 cm2
  2. V = area of end × length = 44 × 15
  3. = 660 cm3
5.A triangular prism has a triangular end with base 6 cm and height 3 cm. The prism is 11 cm long. Find its volume.

Answer: 99 cm3

  1. Area of the triangle = ½ × 6 × 3 = 9 cm2
  2. V = area of end × length = 9 × 11
  3. = 99 cm3
6.A cylinder has a radius of 6 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 2035.8 cm3

  1. V = π × r2 × h = π × 62 × 18
  2. = π × 648
  3. ≈ 2035.8 cm3
7.A cylinder has a radius of 4 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 603.2 cm3

  1. V = π × r2 × h = π × 42 × 12
  2. = π × 192
  3. ≈ 603.2 cm3
8.A rectangular prism has a volume of 432 cm3. Its base is 6 cm by 9 cm. Find its height.

Answer: 8 cm

  1. Base area = 6 × 9 = 54 cm2
  2. Height = 432 ÷ 54 = 8 cm
9.A triangular prism has a triangular end with base 20 cm and height 6 cm. The prism is 3 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 20 × 6 = 60 cm2
  2. V = area of end × length = 60 × 3
  3. = 180 cm3
10.A rectangular prism has a volume of 126 cm3. Its base is 6 cm by 3 cm. Find its height.

Answer: 7 cm

  1. Base area = 6 × 3 = 18 cm2
  2. Height = 126 ÷ 18 = 7 cm
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