Chapter 14.5, Problem 27ES

Determine whether the statement is true or false. Explain your answer.

If G is the rectangular solid that is defined by $1\le x\le 3,2\le y\le 5,-1\le z\le 1,$ and if $f\left(x,y,z\right)$ is continuous on G, then

${\displaystyle \underset{G}{\iiint }f\left(x,y,z\right)dV={\displaystyle {\int }_1^3{\displaystyle {\int }_{-1}^1{\displaystyle {\int }_2^{5}f\left(x,y,z\right)dydzdx}}}}$