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Grade 6 · unit review

Review: Solve Geometry with Areas, Volumes, Nets, and Coordinates

Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.

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Unit review questions
1. A triangle has base 12 units and perpendicular height 7. What is its area?
Need a hint?
  • Check that the height is perpendicular to the base line.
  • A triangle needs half the corresponding base-by-height rectangle area.
2. A right rectangular prism has edges 5/2, 3/5, and 4/3 units. Find its volume.
Need a hint?
  • Multiply all three dimensions, not only the base lengths.
  • Volume has cubic units even when its value is a fraction.
3. A rectangular prism has edges 6, 3, and 4 units. What is its surface area?
Need a hint?
  • List all six faces or clearly account for three pairs.
  • Surface area is square units; volume is cubic units.
4. A side joins (-6,3) to (8,3). What is its length?
Need a hint?
  • Plot vertices in the stated connecting order.
  • A coordinate is a signed position; a side length is nonnegative.

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 box has edges 3,4,5 units. Find volume and surface area, then explain their different units.

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

  • Show the supplied quantities or shape attributes in a labeled model.
  • Explain each operation or classification using this unit’s definitions.
  • Check the result against the supplied situation.
Compare with a model response

Volume is 3×4×5=60 cubic units. Face pairs have areas 12,15,20, so surface area is 2(12+15+20)=94 square units. The net covers the boundary, while cubes fill the interior.

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