Answer:
The surface area increases at 12/7 square inches per minute
Explanation:
Given
--- side length
--- Rate at which volume increases
Required
The rate at
the
area

The volume of a cube is:

Differentiate with respect to time

When
and

The expression becomes:

Divide both sides by 3


Divide both sides by 49

The surface area is calculated as:

Differentiate with respect to time

Substitute:
and




The surface area increases at 12/7 square inches per minute