Answer
$2744$ inches cubed
Work Step by Step
We are given that $V(x)=x^{3}$. This relation is written in function notation, which tells us that the volume of a cube is a function of the length of its sides. Therefore, if we know the length of its sides, we can calculate the volume of that cube.
We are given that the cube has sides that are 14 inches long. We can insert $x=14$ into the equation to find the volume of the cube.
$V(14)=14^{3}=14\times14\times14=2744$ inches cubed