Success TutoringWorksheets

7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Volume & Capacity

7th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Answers

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

1.A rectangular prism has a volume of 36 cm3. Its base is 6 cm by 2 cm. Find its height.

Answer: 3 cm

  1. Base area = 6 × 2 = 12 cm2
  2. Height = 36 ÷ 12 = 3 cm
2.A cylinder has a radius of 3 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.

Answer: 452.4 cm3

  1. V = π × r2 × h = π × 32 × 16
  2. = π × 144
  3. ≈ 452.4 cm3
3.A cylinder has a radius of 5 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.

Answer: 1178.1 cm3

  1. V = π × r2 × h = π × 52 × 15
  2. = π × 375
  3. ≈ 1178.1 cm3
4.A rectangular prism has a volume of 56 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 2 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 56 ÷ 28 = 2 cm
5.A cylinder has a radius of 4 cm and a height of 4 cm. Find its volume, correct to 1 decimal place.

Answer: 201.1 cm3

  1. V = π × r2 × h = π × 42 × 4
  2. = π × 64
  3. ≈ 201.1 cm3
6.A rectangular prism has a volume of 36 cm3. Its base is 6 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 6 × 3 = 18 cm2
  2. Height = 36 ÷ 18 = 2 cm
7.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 3 cm long. Find its volume.

Answer: 18 cm3

  1. Area of the triangle = ½ × 4 × 3 = 6 cm2
  2. V = area of end × length = 6 × 3
  3. = 18 cm3
8.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
9.A rectangular prism has a volume of 144 cm3. Its base is 9 cm by 4 cm. Find its height.

Answer: 4 cm

  1. Base area = 9 × 4 = 36 cm2
  2. Height = 144 ÷ 36 = 4 cm
10.A rectangular prism has a volume of 210 cm3. Its base is 7 cm by 6 cm. Find its height.

Answer: 5 cm

  1. Base area = 7 × 6 = 42 cm2
  2. Height = 210 ÷ 42 = 5 cm
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: