Success TutoringWorksheets

5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 5th Grade volume & capacity worksheet.

Success TutoringWorksheetsAnswer sheet5th Grade · Mathematics · Volume & Capacity

5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers

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

1.A cylinder has a radius of 9 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 4326.0 cm3

  1. V = π × r2 × h = π × 92 × 17
  2. = π × 1377
  3. ≈ 4326.0 cm3
2.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
3.A cylinder has a radius of 6 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 1809.6 cm3

  1. V = π × r2 × h = π × 62 × 16
  2. = π × 576
  3. ≈ 1809.6 cm3
4.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 180 cm3

  1. Area of the triangle = ½ × 12 × 2 = 12 cm2
  2. V = area of end × length = 12 × 15
  3. = 180 cm3
5.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 12 cm long. Find its volume.

Answer: 396 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 12
  3. = 396 cm3
6.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 5 cm long. Find its volume.

Answer: 30 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 5
  3. = 30 cm3
7.A cylinder has a radius of 6 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.

Answer: 1470.3 cm3

  1. V = π × r2 × h = π × 62 × 13
  2. = π × 468
  3. ≈ 1470.3 cm3
8.A triangular prism has a triangular end with base 22 cm and height 8 cm. The prism is 10 cm long. Find its volume.

Answer: 880 cm3

  1. Area of the triangle = ½ × 22 × 8 = 88 cm2
  2. V = area of end × length = 88 × 10
  3. = 880 cm3
9.A cylinder has a radius of 4 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.

Answer: 402.1 cm3

  1. V = π × r2 × h = π × 42 × 8
  2. = π × 128
  3. ≈ 402.1 cm3
10.A cylinder has a radius of 5 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 1099.6 cm3

  1. V = π × r2 × h = π × 52 × 14
  2. = π × 350
  3. ≈ 1099.6 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.