Application of Derivatives Exam Question (2024)

Question

An open box with a square base is to be made out of a given quantity of cardboard of area c^2 square units. Show that the maximum volume of the box is \frac{c^3}{6\sqrt{3}} cubic units.

Accepted Answer

V_{\max} = \frac{c^3}{6\sqrt{3}}

Application of Derivatives — ISC Class 12

Exam Questions & Step-by-Step Markschemes (1 Problems)

Practice Application of Derivatives Interactively