A polymer manufacturer is looking to cut cost. An engineer has the idea of changing the geometry of their "pellets" from spherical to cubes while keeping the "pellet" volume the same. This would allow them to cool the pellet off faster and increase throughput. If:

\[\begin{array}{ll}ho=800 \frac{\mathrm{kg}}{\mathrm{m}^{3}} \quad C_{p}=530 \frac{\mathrm{J}}{\mathrm{kgK}} \quad h=10 \frac{\mathrm{W}}{\mathrm{m}^{2} \mathrm{~K}} \\k=5 \frac{\mathrm{W}}{\mathrm{mK}} & V=1 \times 10^{-5} \mathrm{~m}^{3}\end{array}\]

Is the engineer's idea a good one?