Squares of side x cm are cut from the corners of a 24 cm square card. Folding gives an open box with

Question

Squares of side x cm are cut from the corners of a 24 cm square card. Folding gives an open box with volume V=x(24-2x)2 cm3. Use differentiation to find its maximum volume, with a feasible-domain argument.

Accepted Answer

$1024\ \mathrm{cm}^3$ when $x=4\ \mathrm{cm}$.

A box from a square sheet

A box from a square sheet

Solution:

Solution locked