Let's analyze a right prism with a height of h units and a base that is an equilateral triangle with sides of l units.
We are asked to find the surface area of the prism S.
S=2 B+ Ph
The variable B is the area of the base of the prism, P is the perimeter of the base, and h is the height of the prism. Therefore, P= 3l units. Since the area of an equilateral triangle with a side of s units is s^2sqrt(3)4, we get that B= l^2sqrt(3)4 square units. Now, let's substitute expressions into the formula for S.
