Solve the Problem $\frac{\mathrm{x}^{2}}{9}+\frac{\mathrm{y}^{2}}{25}+\frac{\mathrm{z}^{2}}{64}=1$ ?
A) $\sqrt{3}$ By $\frac{5}{3} \sqrt{3}$ By $\frac{8}{3} \sqrt{3}$ B) $\frac{3}{2} \sqrt{2}$

Multiple Choice

Solve the problem.
-Find the dimensions of a box with largest volume if it lies in the first octant, three of its faces lie in the coordinate planes, and the box lies beneath (or touching) the ellipsoid with equation $\frac{\mathrm{x}^{2}}{9}+\frac{\mathrm{y}^{2}}{25}+\frac{\mathrm{z}^{2}}{64}=1$ ?

A) $\sqrt{3}$ by $\frac{5}{3} \sqrt{3}$ by $\frac{8}{3} \sqrt{3}$
B) $\frac{3}{2} \sqrt{2}$ by $\frac{5}{2} \sqrt{2}$ by $4 \sqrt{2}$
C) $3 \sqrt{3}$ by $5 \sqrt{3}$ by $8 \sqrt{3}$
D) 1 by $\frac{5}{3}$ by $\frac{8}{3}$