An open‐top rectangular box is to be made from of cardboard

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

An open‐top rectangular box is to be made from

600\,\text{cm}^2

of cardboard. The base must be a square of side length

x

\,cm and the height is

h

\,cm. Determine the value of

x

that maximizes the volume of the box. (Give an exact value.)