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 triangular prism has a triangular end with base 24 cm and height 9 cm. The prism is 8 cm long. Find its volume.

Answer: 864 cm3

  1. Area of the triangle = ½ × 24 × 9 = 108 cm2
  2. V = area of end × length = 108 × 8
  3. = 864 cm3
2.A rectangular prism has a volume of 168 cm3. Its base is 7 cm by 8 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 8 = 56 cm2
  2. Height = 168 ÷ 56 = 3 cm
3.A rectangular prism has a volume of 112 cm3. Its base is 7 cm by 2 cm. Find its height.

Answer: 8 cm

  1. Base area = 7 × 2 = 14 cm2
  2. Height = 112 ÷ 14 = 8 cm
4.A cylinder has a radius of 4 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.

Answer: 1005.3 cm3

  1. V = π × r2 × h = π × 42 × 20
  2. = π × 320
  3. ≈ 1005.3 cm3
5.A rectangular prism has a volume of 32 cm3. Its base is 8 cm by 2 cm. Find its height.

Answer: 2 cm

  1. Base area = 8 × 2 = 16 cm2
  2. Height = 32 ÷ 16 = 2 cm
6.A cylinder has a radius of 4 cm and a height of 11 cm. Find its volume, correct to 1 decimal place.

Answer: 552.9 cm3

  1. V = π × r2 × h = π × 42 × 11
  2. = π × 176
  3. ≈ 552.9 cm3
7.A rectangular prism has a volume of 225 cm3. Its base is 5 cm by 9 cm. Find its height.

Answer: 5 cm

  1. Base area = 5 × 9 = 45 cm2
  2. Height = 225 ÷ 45 = 5 cm
8.A triangular prism has a triangular end with base 10 cm and height 9 cm. The prism is 7 cm long. Find its volume.

Answer: 315 cm3

  1. Area of the triangle = ½ × 10 × 9 = 45 cm2
  2. V = area of end × length = 45 × 7
  3. = 315 cm3
9.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 6 cm long. Find its volume.

Answer: 198 cm3

  1. Area of the triangle = ½ × 22 × 3 = 33 cm2
  2. V = area of end × length = 33 × 6
  3. = 198 cm3
10.A rectangular prism has a volume of 90 cm3. Its base is 5 cm by 9 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 9 = 45 cm2
  2. Height = 90 ÷ 45 = 2 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: