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Year 10 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Volume & Capacity

Year 10 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers

Show your working. Volume is measured in cubic units (cm³).

1.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 5 cm long. Find its volume.

Answer: 30 cm3

  1. Area of the triangle = ½ × 6 × 2 = 6 cm2
  2. V = area of end × length = 6 × 5
  3. = 30 cm3
2.A rectangular prism has a volume of 350 cm3. Its base is 10 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 10 × 5 = 50 cm2
  2. Height = 350 ÷ 50 = 7 cm
3.A rectangular prism has a volume of 63 cm3. Its base is 3 cm by 7 cm. Find its height.

Answer: 3 cm

  1. Base area = 3 × 7 = 21 cm2
  2. Height = 63 ÷ 21 = 3 cm
4.A rectangular prism has a volume of 900 cm3. Its base is 10 cm by 10 cm. Find its height.

Answer: 9 cm

  1. Base area = 10 × 10 = 100 cm2
  2. Height = 900 ÷ 100 = 9 cm
5.A rectangular prism has a volume of 480 cm3. Its base is 10 cm by 8 cm. Find its height.

Answer: 6 cm

  1. Base area = 10 × 8 = 80 cm2
  2. Height = 480 ÷ 80 = 6 cm
6.A rectangular prism has a volume of 36 cm3. Its base is 4 cm by 3 cm. Find its height.

Answer: 3 cm

  1. Base area = 4 × 3 = 12 cm2
  2. Height = 36 ÷ 12 = 3 cm
7.A triangular prism has a triangular end with base 24 cm and height 4 cm. The prism is 3 cm long. Find its volume.

Answer: 144 cm3

  1. Area of the triangle = ½ × 24 × 4 = 48 cm2
  2. V = area of end × length = 48 × 3
  3. = 144 cm3
8.A triangular prism has a triangular end with base 6 cm and height 4 cm. The prism is 15 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 6 × 4 = 12 cm2
  2. V = area of end × length = 12 × 15
  3. = 180 cm3
9.A rectangular prism is 13 cm long, 10 cm wide and 6 cm high. Find its volume.

Answer: 780 cm3

  1. V = length × width × height = 13 × 10 × 6
  2. = 780 cm3
10.A rectangular prism has a volume of 400 cm3. Its base is 10 cm by 10 cm. Find its height.

Answer: 4 cm

  1. Base area = 10 × 10 = 100 cm2
  2. Height = 400 ÷ 100 = 4 cm
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