Math Problem Statement
A box with a square base and open top must have a volume of 32000 cm3 . Using material of the same thickness, find the dimensions of the box that minimise the amount of material used.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometric optimization
Volume and surface area calculations
Calculus (optimization)
Formulas
Volume of a box: V = x²h
Surface area of a box: S = x² + 4xh
Theorems
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Suitable Grade Level
Grades 11-12
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