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Grade 5 · Mathematics · Spatial Sense

Area and volume

What they’re learning

Your child is connecting area of two-dimensional shapes with volume of three-dimensional objects. Volume measures how many cubic units fill a space.

Explain it to my child

Area covers a surface with squares. Volume fills a solid with cubes.

Try it together

Use small cubes, LEGO bricks, or identical boxes to build rectangular prisms. Count layers and connect length × width × height to the total number of cubes.

Practice

  1. Area of 7 cm by 4 cm rectangle?
  2. Volume of 3 × 4 × 5 rectangular prism?
  3. A box has base area 12 cm² and height 4 cm. Volume?
  4. Which unit suits volume: cm or cm³?
  5. A rectangle has area 36 cm² and length 9 cm. Width?

Check understanding

  • Can your child explain the difference between square and cubic units?
  • Can they see volume as layers of equal unit cubes?
Parent answer guide
  1. 28 cm²
  2. 60 cubic units
  3. 48 cm³
  4. cm³
  5. 4 cm

Ontario curriculum connection

Grade 5 · Mathematics
Spatial Sense · Measurement

Curriculum expectation: Specific expectation omitted because Lessonfield has not yet verified an expectation-level mapping for this guide.

Ontario Curriculum, Mathematics, Grades 1–8 (2020) ↗

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