An open box with square base is to be made out of a given qu... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

An open box with square base is to be made out of a given quantity of cardboard of area $P^2$ sq. units. The maximum volume of the box is :

A

$\frac{P^3}{6}$

B

$\frac{P}{6\sqrt{3}}$

C

$\frac{P^2}{6\sqrt{3}}$

D

$\frac{P^3}{6\sqrt{3}}$

Answer

$\frac{P^3}{6\sqrt{3}}$

Explanation

Solution

The correct option is (D): $\frac{P^3}{6\sqrt{3}}$