The surface area of a cube is changing at a rate of 13 $\text{inches}^2/\text{min}$. How fast is the volume changing when the surface area is $43\text{inches}^{2}$?
The answer key says $0.404$. I have not been able to produce that answer. Instead I have gotten $8.7\text{inches}^{3}/\text{min}$.
I am attaching my work. Could someone help me with this please?
