Question

A box with a square base of side a is three times higher than its width. Express the volume V of the box as a function of a.

V(a) = ?

Answer 1

volume of a box is length x width x height.
Here its bottom is square, with side= a (its side has length a)The box is three times higher. This means 3 times a is its height.So putting it together:length= a, width =a (square base)height= 3a (three times higher than it is wide)V=a⋅a⋅3a=3a3