Success TutoringWorksheets

Year 7 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.A rectangular prism has a volume of 168 cm3. Its base is 8 cm by 7 cm. Find its height.

Answer: 3 cm

  1. Base area = 8 × 7 = 56 cm2
  2. Height = 168 ÷ 56 = 3 cm
2.A rectangular prism has a volume of 288 cm3. Its base is 4 cm by 8 cm. Find its height.

Answer: 9 cm

  1. Base area = 4 × 8 = 32 cm2
  2. Height = 288 ÷ 32 = 9 cm
3.A cylinder has a radius of 6 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.

Answer: 678.6 cm3

  1. V = π × r2 × h = π × 62 × 6
  2. = π × 216
  3. ≈ 678.6 cm3
4.A cylinder has a radius of 4 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.

Answer: 703.7 cm3

  1. V = π × r2 × h = π × 42 × 14
  2. = π × 224
  3. ≈ 703.7 cm3
5.A rectangular prism has a volume of 135 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 9 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 135 ÷ 15 = 9 cm
6.A rectangular prism has a volume of 60 cm3. Its base is 5 cm by 6 cm. Find its height.

Answer: 2 cm

  1. Base area = 5 × 6 = 30 cm2
  2. Height = 60 ÷ 30 = 2 cm
7.A rectangular prism has a volume of 192 cm3. Its base is 8 cm by 8 cm. Find its height.

Answer: 3 cm

  1. Base area = 8 × 8 = 64 cm2
  2. Height = 192 ÷ 64 = 3 cm
8.A rectangular prism has a volume of 60 cm3. Its base is 4 cm by 5 cm. Find its height.

Answer: 3 cm

  1. Base area = 4 × 5 = 20 cm2
  2. Height = 60 ÷ 20 = 3 cm
9.A rectangular prism has a volume of 126 cm3. Its base is 9 cm by 7 cm. Find its height.

Answer: 2 cm

  1. Base area = 9 × 7 = 63 cm2
  2. Height = 126 ÷ 63 = 2 cm
10.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 15 cm long. Find its volume.

Answer: 90 cm3

  1. Area of the triangle = ½ × 6 × 2 = 6 cm2
  2. V = area of end × length = 6 × 15
  3. = 90 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: