Answer:
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively.
Since the length, width, and height of the prism in this case are all x inches, we can substitute x for l, w, and h in the formula to get:
Surface Area = 2(x)(x) + 2(x)(x) + 2(x)(x)
Simplifying the equation, we get:
Surface Area = 2x^2 + 2x^2 + 2x^2
Surface Area = 6x^2
Therefore, the equation for the surface area of a prism with a length, width, and height of x inches is:
Surface Area = 6x^2 square inches