Question 802957
first you should break down your problem

Surface Area of the prism = 2 * Area of Triangle + 3 * Area of rectangle

Lets start by getting the area of the equilateral triangle which can be expressed as

(s^2 . root(3))/4 this is faster than 1/2bh since we don't know h and would otherwise have to calculate it. 

so area of the triangle is (12^2*root(3))/4 = 62.354 cm2
thus the surface area of the sides of the prism is 62.354*2 = 124.708cm2

Now lets find the area of the rectangle:

we are given the volume which can be expressed as the base area * height

the height is the length of the rectangle so 

1080 = 62.354 * h therefore h = 1080/62.354 = 17.32cm

so the surface area of the rectangle is 17.32*12; since there are 3 such rectangles the surface area of all is 17.32*12*3 = 623.54cm2

go back to our 1st equation to finally get the total surface area as 124.708 + 623.54 = 748.2 cm2