From a square sheet of cardboard measuring 30 cm on each side

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

From a square sheet of cardboard measuring 30 cm on each side, identical squares of side length

x

cm are cut from the four corners, and the sides are folded up to create an open-top box. Determine the value of

x

that maximizes the volume of the box. Provide

x

to the nearest tenth of a centimeter.