Math Problem Statement

Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 2 cents per cm2 and whose sides cost 5 cents per cm2. Round your answer to nearest whole number cents.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Optimization

Formulas

Volume of a rectangular box: V = l × w × h

Theorems

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Suitable Grade Level

Grades 9-12