So I already know how to calculate base area given all 3 edges. I need to use Herom Formula. Now I'm left with finding the height of the prism. What formula should I apply here to find the height of the prism given that I already have surface area of 1620cm (Sqr) and base area of 360cm(sqr) ? Pic of the prism:
Express the surface area by the height of the prism to have an equation. Note, for example, that the quadrilateral $A_1B_1BA$ is a rectangle (which I assume from the image).