Success TutoringWorksheets

Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 volume & capacity worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & Capacity

Year 7 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 168 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 168 ÷ 28 = 6 cm
2.A cylinder has a radius of 2 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 113.1 cm3

  1. V = π × r2 × h = π × 22 × 9
  2. = π × 36
  3. ≈ 113.1 cm3
3.A rectangular prism has a volume of 100 cm3. Its base is 10 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 10 × 5 = 50 cm2
  2. Height = 100 ÷ 50 = 2 cm
4.A cylinder has a radius of 10 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 3769.9 cm3

  1. V = π × r2 × h = π × 102 × 12
  2. = π × 1200
  3. ≈ 3769.9 cm3
5.A rectangular prism has a volume of 192 cm3. Its base is 12 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 12 × 2 = 24 cm2
  2. Height = 192 ÷ 24 = 8 cm
6.A triangular prism has a triangular end with base 24 cm and height 6 cm. The prism is 13 cm long. Find its volume.

Answer: 936 cm3

  1. Area of the triangle = ½ × 24 × 6 = 72 cm2
  2. V = area of end × length = 72 × 13
  3. = 936 cm3
7.A rectangular prism has a volume of 120 cm3. Its base is 5 cm by 3 cm. Find its height.

Answer: 8 cm

  1. Base area = 5 × 3 = 15 cm2
  2. Height = 120 ÷ 15 = 8 cm
8.A cylinder has a radius of 8 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.

Answer: 1005.3 cm3

  1. V = π × r2 × h = π × 82 × 5
  2. = π × 320
  3. ≈ 1005.3 cm3
9.A rectangular prism has a volume of 56 cm3. Its base is 4 cm by 2 cm. Find its height.

Answer: 7 cm

  1. Base area = 4 × 2 = 8 cm2
  2. Height = 56 ÷ 8 = 7 cm
10.A triangular prism has a triangular end with base 4 cm and height 7 cm. The prism is 4 cm long. Find its volume.

Answer: 56 cm3

  1. Area of the triangle = ½ × 4 × 7 = 14 cm2
  2. V = area of end × length = 14 × 4
  3. = 56 cm3
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: