A triangular prism with a right triangular base has one leg length that is 6 inches and the other leg that is 8 inches. The height of the prism is 7 inches. What is the surface area of the prism?

Answer 1

SA = base perimeter * height + 2* area of base.

By Pythagorean Theorem length of hypotenuse of right triangle base is sqrt(6^2 + 8^2) = 10

Thus base perimeter is 6 + 8 + 10 = 24

Area of base = 1/2 * base * height = 1/2 * 6 * 8 = 24, so 2* area of base = 48

Height is given as 7 so, substituting,

SA = 24 * 7 * 48 = 8064 square inches