(Solved): In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integ ...

In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box $B$, where $f(x,y,z)$ is evaluated at the center $\left({\stackrel{?}{x}}_i,{\stackrel{?}{y}}_j,{\stackrel{?}{z}}_k\right)$ of the box $B_{ijk}$. Use the Midpoint Rule to estimate the value of the integral. Divide $B$ into eight sub-boxes of equal size. (Round your answer to two decimal places.) ${?}_{B}7\sqrt{x^2+y^2+z^2}dV,\text{ where }B=\{(x,y,z)?0?x?4,0?y?4,0?z?4\}$