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Year 9 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Volume & Capacity

Year 9 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — Answers

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

1.A rectangular prism has a volume of 880 cm3. Its base is 11 cm by 10 cm. Find its height.

Answer: 8 cm

  1. Base area = 11 × 10 = 110 cm2
  2. Height = 880 ÷ 110 = 8 cm
2.A rectangular prism has a volume of 864 cm3. Its base is 12 cm by 8 cm. Find its height.

Answer: 9 cm

  1. Base area = 12 × 8 = 96 cm2
  2. Height = 864 ÷ 96 = 9 cm
3.A rectangular prism has a volume of 180 cm3. Its base is 5 cm by 6 cm. Find its height.

Answer: 6 cm

  1. Base area = 5 × 6 = 30 cm2
  2. Height = 180 ÷ 30 = 6 cm
4.A triangular prism has a triangular end with base 14 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 840 cm3

  1. Area of the triangle = ½ × 14 × 8 = 56 cm2
  2. V = area of end × length = 56 × 15
  3. = 840 cm3
5.A rectangular prism is 4 cm long, 2 cm wide and 9 cm high. Find its volume.

Answer: 72 cm3

  1. V = length × width × height = 4 × 2 × 9
  2. = 72 cm3
6.A triangular prism has a triangular end with base 4 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 160 cm3

  1. Area of the triangle = ½ × 4 × 8 = 16 cm2
  2. V = area of end × length = 16 × 10
  3. = 160 cm3
7.A rectangular prism has a volume of 352 cm3. Its base is 11 cm by 8 cm. Find its height.

Answer: 4 cm

  1. Base area = 11 × 8 = 88 cm2
  2. Height = 352 ÷ 88 = 4 cm
8.A rectangular prism has a volume of 140 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 140 ÷ 20 = 7 cm
9.A rectangular prism is 4 cm long, 3 cm wide and 10 cm high. Find its volume.

Answer: 120 cm3

  1. V = length × width × height = 4 × 3 × 10
  2. = 120 cm3
10.A rectangular prism has a volume of 72 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 6 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 72 ÷ 12 = 6 cm
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