#### Answer

$V=91.125\text{ m}^3$

#### Work Step by Step

To find the volume of a cube, we use the formula $V=s^3$, where $s$ is the length of one of the sides of the cube. Using the side length shown in the diagram, we get $$V=s^3=(4.5\text{ m})^3=91.125\text{ m}^3$$