Answer:
3x² square inches
Explanation:
Since we are not told what to find, we can look for the function that represents the area of the box
Given the polynomial function that represents the volume expressed as;
P(x) = -12x^3+36x^2
P(x) = A(x)* w(x)
Factorize the polynomial
P(x) = -12x^3+36x^2
P(x) = -12x²(x-3)
P(x) = 12x²(3-x)
P(x) = 3x²*4(3-x)
P(x) = 3x²*(12-4x)
Comparing with the formula
P(x) = A(x)* w(x)
A(x)= 3x²
Hence the area of the box will be 3x² square inches