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Year 6 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 6 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & Capacity

Year 6 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 240 cm3. Its base is 6 cm by 8 cm. Find its height.

Answer: 5 cm

  1. Base area = 6 × 8 = 48 cm2
  2. Height = 240 ÷ 48 = 5 cm
2.A triangular prism has a triangular end with base 12 cm and height 5 cm. The prism is 6 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 12 × 5 = 30 cm2
  2. V = area of end × length = 30 × 6
  3. = 180 cm3
3.A triangular prism has a triangular end with base 24 cm and height 3 cm. The prism is 15 cm long. Find its volume.

Answer: 540 cm3

  1. Area of the triangle = ½ × 24 × 3 = 36 cm2
  2. V = area of end × length = 36 × 15
  3. = 540 cm3
4.A triangular prism has a triangular end with base 20 cm and height 7 cm. The prism is 13 cm long. Find its volume.

Answer: 910 cm3

  1. Area of the triangle = ½ × 20 × 7 = 70 cm2
  2. V = area of end × length = 70 × 13
  3. = 910 cm3
5.A cylinder has a radius of 2 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 201.1 cm3

  1. V = π × r2 × h = π × 22 × 16
  2. = π × 64
  3. ≈ 201.1 cm3
6.A rectangular prism has a volume of 864 cm3. Its base is 12 cm by 9 cm. Find its height.

Answer: 8 cm

  1. Base area = 12 × 9 = 108 cm2
  2. Height = 864 ÷ 108 = 8 cm
7.A rectangular prism has a volume of 110 cm3. Its base is 11 cm by 2 cm. Find its height.

Answer: 5 cm

  1. Base area = 11 × 2 = 22 cm2
  2. Height = 110 ÷ 22 = 5 cm
8.A triangular prism has a triangular end with base 14 cm and height 5 cm. The prism is 14 cm long. Find its volume.

Answer: 490 cm3

  1. Area of the triangle = ½ × 14 × 5 = 35 cm2
  2. V = area of end × length = 35 × 14
  3. = 490 cm3
9.A triangular prism has a triangular end with base 20 cm and height 5 cm. The prism is 15 cm long. Find its volume.

Answer: 750 cm3

  1. Area of the triangle = ½ × 20 × 5 = 50 cm2
  2. V = area of end × length = 50 × 15
  3. = 750 cm3
10.A cylinder has a radius of 4 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 301.6 cm3

  1. V = π × r2 × h = π × 42 × 6
  2. = π × 96
  3. ≈ 301.6 cm3
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