Success TutoringWorksheets

Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A cylinder has a radius of 3 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 367.6 cm3

  1. V = π × r2 × h = π × 32 × 13
  2. = π × 117
  3. ≈ 367.6 cm3
2.A triangular prism has a triangular end with base 20 cm and height 4 cm. The prism is 12 cm long. Find its volume.

Answer: 480 cm3

  1. Area of the triangle = ½ × 20 × 4 = 40 cm2
  2. V = area of end × length = 40 × 12
  3. = 480 cm3
3.A rectangular prism has a volume of 40 cm3. Its base is 5 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 4 = 20 cm2
  2. Height = 40 ÷ 20 = 2 cm
4.A triangular prism has a triangular end with base 22 cm and height 2 cm. The prism is 4 cm long. Find its volume.

Answer: 88 cm3

  1. Area of the triangle = ½ × 22 × 2 = 22 cm2
  2. V = area of end × length = 22 × 4
  3. = 88 cm3
5.A cylinder has a radius of 2 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 50.3 cm3

  1. V = π × r2 × h = π × 22 × 4
  2. = π × 16
  3. ≈ 50.3 cm3
6.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
7.A cylinder has a radius of 6 cm and a height of 18 cm. Find its volume, correct to 1 decimal place.

Answer: 2035.8 cm3

  1. V = π × r2 × h = π × 62 × 18
  2. = π × 648
  3. ≈ 2035.8 cm3
8.A cylinder has a radius of 7 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 2155.1 cm3

  1. V = π × r2 × h = π × 72 × 14
  2. = π × 686
  3. ≈ 2155.1 cm3
9.A triangular prism has a triangular end with base 18 cm and height 5 cm. The prism is 11 cm long. Find its volume.

Answer: 495 cm3

  1. Area of the triangle = ½ × 18 × 5 = 45 cm2
  2. V = area of end × length = 45 × 11
  3. = 495 cm3
10.A triangular prism has a triangular end with base 12 cm and height 6 cm. The prism is 7 cm long. Find its volume.

Answer: 252 cm3

  1. Area of the triangle = ½ × 12 × 6 = 36 cm2
  2. V = area of end × length = 36 × 7
  3. = 252 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: