Bunuel wrote:

The bases of a certain prism are equilateral triangles, and the sides of that prism are rectangles. If the area of each of the bases of the prism is 9√3 and the volume of the prism 18√3, then what is the area of one side of the prism?

A. 12

B. 12√3

C. 36

D. 36√3

E. 72

Volume of triangular prism is v = b* h

we have base 9√3 and volume is 18√3

We get height as 18√3 = 9√3 * h => h = 2.

Equilateral triangle is √3 / 4* (a^2) = 9√3 ( since base is equilateral traingle)

a^2 = 36 => a = 6.

Now rectangle area is lb = 2*6 = 12.

IMO option A.