Solve the Problem $2.19 \mathrm {~mm} ^ { 3 } / \mathrm { mm }$

Multiple Choice

Solve the problem.
-A cubic salt crystal expands by accumulation on all sides. As it expands outward find the rate of change of its volume with respect to the length of an edge when the edge is 0.27 mm.

A) $2.19 \mathrm {~mm} ^ { 3 } / \mathrm { mm }$
B) $21.87 \mathrm {~mm} ^ { 3 } / \mathrm { mm }$
C) $0.2187 \mathrm {~mm} ^ { 3 } / \mathrm { mm }$
D) $0.06 \mathrm {~mm} ^ { 3 } / \mathrm { mm }$