Alberta Diploma Question

A company wants to change the dimentions of a particular box, which will increase the volume. The box is currently 4 cm by 3 cm by 8 cm. to create the new box, the company will increase each dimension by the same amount. The volume of the box can be calulated using the formula $\displaystyle {V}={l}\cdot{w}\cdot{h}$.

The company does not want the volume of the box to exceed 952 $\displaystyle {c}{m}^{{3}}$. Determine the largest amount by which each dimension of the box can be increased, to the nearest tenth of a centimetre.

$\displaystyle {c}{m}$