The Life Starter
Sign up
Grade 5 · unit review

Review: Measure Volume with Layers and Composite Prisms

Use cubic units, convert matching measurement units, add volumes, and find missing prism heights.

Download reviews and answer keys

Bring the unit skills together

Use these 4 new cases to check your reasoning. Choices are temporary and are not saved to an account, sent to staff or recorded as school grades. Download your current review choices before leaving or reloading.

Unit review questions
1. Using 1 m=100 cm, express 75 cm in m.
Need a hint?
  • Choose multiply or divide from the unit direction.
  • Length conversion is not automatically the same factor as area or volume conversion.
2. A right rectangular prism is 7 units by 4 units by 2 units. What is its volume in cubic units?
Need a hint?
  • Count complete layers, including stated hidden layers.
  • Area uses two dimensions; prism volume uses three.
3. A solid consists of non-overlapping prisms 6×3×2 and 2×2×4 units. What is the total volume?
Need a hint?
  • Verify the supplied non-overlap condition.
  • Do not add an extra amount for the shared joining face.
4. A prism volume is 84 cubic units and its base is 4 by 3 units. What is its height?
Need a hint?
  • Find the base area before dividing volume.
  • Report the recovered height in length units.

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

A base is 5 cm by 4 cm and has three full one-centimeter cube layers. Find volume, then a second non-overlapping 2×3×4 prism’s combined volume.

Work on paper or in your own document. Explain the choices you made.

  • Draw or label the numbers or shape features the task gives you.
  • Say why each calculation or shape choice follows the ideas in this unit.
  • Check that your answer fits the story or drawing in the task.
Compare with a model response

One layer has 20 cubes; three layers give 60 cubic cm. The second prism holds 24 cubic cm. Because the interiors do not overlap, combined volume is 84 cubic cm.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.