Solve optimization problems requiring maximization or minimization of perimeter, area, surface area, or volume, given various constraints
30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.
Sample: the first question, solved
Find the rectangle with the smallest possible perimeter, given an area of 36m² (whole-number sides).
📘 Worked solution
✓6m×6m (a square) → perimeter=24m.
And one from the hard end
"A company wants a rectangular box with a fixed volume of 500cm³ that minimizes cardboard used, with a square base. Set up the relationship between the dimensions, and explain qualitatively why a cube-like shape tends to minimize surface area for a given volume."
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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