Chapter 6.2, Problem 30ES

True-False Determine whether the statement is true or false. Explain your answer. [In these exercises, assume that a solid $S$ of volume $V$ is bounded by two parallel planes perpendicular to the $x\text{-axis}$ at $x=a$ and $x=b$ and that for each $x$ in $\left[a,b\right],A\left(x\right)$ denotes the cross-sectional area of $S$ perpendicular to the $x\text{-axis}$ .]

The average value of $A\left(x\right)$ on the interval $\left[a,b\right]$ is given by $V/\left(b-a\right)$ .