Abox 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) = ?

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