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Year 5 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — 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 3 — 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 8 cm and height 9 cm. The prism is 7 cm long. Find its volume.

Answer: 252 cm3

  1. Area of the triangle = ½ × 8 × 9 = 36 cm2
  2. V = area of end × length = 36 × 7
  3. = 252 cm3
2.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 11 cm long. Find its volume.

Answer: 528 cm3

  1. Area of the triangle = ½ × 16 × 6 = 48 cm2
  2. V = area of end × length = 48 × 11
  3. = 528 cm3
3.A triangular prism has a triangular end with base 6 cm and height 9 cm. The prism is 15 cm long. Find its volume.

Answer: 405 cm3

  1. Area of the triangle = ½ × 6 × 9 = 27 cm2
  2. V = area of end × length = 27 × 15
  3. = 405 cm3
4.A triangular prism has a triangular end with base 16 cm and height 3 cm. The prism is 3 cm long. Find its volume.

Answer: 72 cm3

  1. Area of the triangle = ½ × 16 × 3 = 24 cm2
  2. V = area of end × length = 24 × 3
  3. = 72 cm3
5.A cylinder has a radius of 4 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 653.5 cm3

  1. V = π × r2 × h = π × 42 × 13
  2. = π × 208
  3. ≈ 653.5 cm3
6.A rectangular prism has a volume of 396 cm3. Its base is 11 cm by 4 cm. Find its height.

Answer: 9 cm

  1. Base area = 11 × 4 = 44 cm2
  2. Height = 396 ÷ 44 = 9 cm
7.A rectangular prism has a volume of 768 cm3. Its base is 12 cm by 8 cm. Find its height.

Answer: 8 cm

  1. Base area = 12 × 8 = 96 cm2
  2. Height = 768 ÷ 96 = 8 cm
8.A rectangular prism has a volume of 252 cm3. Its base is 7 cm by 6 cm. Find its height.

Answer: 6 cm

  1. Base area = 7 × 6 = 42 cm2
  2. Height = 252 ÷ 42 = 6 cm
9.A rectangular prism has a volume of 770 cm3. Its base is 11 cm by 10 cm. Find its height.

Answer: 7 cm

  1. Base area = 11 × 10 = 110 cm2
  2. Height = 770 ÷ 110 = 7 cm
10.A cylinder has a radius of 10 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 5654.9 cm3

  1. V = π × r2 × h = π × 102 × 18
  2. = π × 1800
  3. ≈ 5654.9 cm3
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