A company packages candy in a rectangular box with a square base and no internal dividers
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A company packages candy in a rectangular box with a square base and no internal dividers. The box must have a volume of 216 cm3. Cardboard for the base costs 0.06 dollars per square centimeter, while cardboard for the four sides and the top costs 0.02 dollars per square centimeter. Determine the side length x (in centimeters) of the square base that minimizes the total material cost of one box.