Success TutoringWorksheets

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

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & Capacity

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

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

1.A triangular prism has a triangular end with base 22 cm and height 8 cm. The prism is 15 cm long. Find its volume.

Answer: 1,320 cm3

  1. Area of the triangle = ½ × 22 × 8 = 88 cm2
  2. V = area of end × length = 88 × 15
  3. = 1,320 cm3
2.A cylinder has a radius of 9 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 1017.9 cm3

  1. V = π × r2 × h = π × 92 × 4
  2. = π × 324
  3. ≈ 1017.9 cm3
3.A cylinder has a radius of 9 cm and a height of 3 cm. Find its volume, correct to 1 decimal place.

Answer: 763.4 cm3

  1. V = π × r2 × h = π × 92 × 3
  2. = π × 243
  3. ≈ 763.4 cm3
4.A triangular prism has a triangular end with base 16 cm and height 2 cm. The prism is 8 cm long. Find its volume.

Answer: 128 cm3

  1. Area of the triangle = ½ × 16 × 2 = 16 cm2
  2. V = area of end × length = 16 × 8
  3. = 128 cm3
5.A rectangular prism has a volume of 405 cm3. Its base is 9 cm by 9 cm. Find its height.

Answer: 5 cm

  1. Base area = 9 × 9 = 81 cm2
  2. Height = 405 ÷ 81 = 5 cm
6.A cylinder has a radius of 9 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 1526.8 cm3

  1. V = π × r2 × h = π × 92 × 6
  2. = π × 486
  3. ≈ 1526.8 cm3
7.A cylinder has a radius of 2 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.

Answer: 150.8 cm3

  1. V = π × r2 × h = π × 22 × 12
  2. = π × 48
  3. ≈ 150.8 cm3
8.A cylinder has a radius of 3 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 113.1 cm3

  1. V = π × r2 × h = π × 32 × 4
  2. = π × 36
  3. ≈ 113.1 cm3
9.A triangular prism has a triangular end with base 4 cm and height 10 cm. The prism is 5 cm long. Find its volume.

Answer: 100 cm3

  1. Area of the triangle = ½ × 4 × 10 = 20 cm2
  2. V = area of end × length = 20 × 5
  3. = 100 cm3
10.A cylinder has a radius of 6 cm and a height of 19 cm. Find its volume, correct to 1 decimal place.

Answer: 2148.8 cm3

  1. V = π × r2 × h = π × 62 × 19
  2. = π × 684
  3. ≈ 2148.8 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: