At What Rate Is the Surface Area of a Cube $12 \mathrm { in } ^ { 2 } / \mathrm { min }$

At what rate is the surface area of a cube increasing if its edges are 2 inches and are increasing at a rate 3 inches per minute?

A) $12 \mathrm { in } ^ { 2 } / \mathrm { min }$

B) $18 \mathrm { in } ^ { 2 } / \mathrm { min }$
C) $2 \operatorname { in } ^ { 2 } / \min$
D) $72 \mathrm { in } ^ { 2 } / \mathrm { min }$
E) $4 \operatorname { in } ^ { 2 } / \min$
F) $9 \mathrm { in } ^ { 2 } / \mathrm { min }$

G) $36 \mathrm { in } ^ { 2 } / \mathrm { min }$

H) $24 \operatorname { in } ^ { 2 } / \min$