Solid: A square pyramid. The square base has side lengths of 5. The 4 triangular sides have a base of 5 and height of 7. What is the surface area of the pyramid?

95 square units

Step-by-step explanation:

Surface area of pyramid = 4 (side area) + base

Solve for the base first.

Area of base = s*s = 5*5 = 25

Next solve for one of the sides.

Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5

Plug these back into our original equation.

Surface area of pyramid = 4 (side area) + base

Surface area of pyramid = 4 (17.5) + 25

Surface area of pyramid = 70 + 25 = 95 square units