The base of a pyramid is a square with side lengths of 5 centimeters. the slant height of each lateral face of the pyramid is 6 centimeters. what is the surface area of the pyramid? a. 65 cm2 b. 75 cm2 c. 85 cm2 d. 95 cm2 e. 105 cm2

Option C. 85 cm² is the answer.

Step-by-step explanation:

The base of a pyramid is a square with side length of 5 cm.

Slant height of the lateral face of the pyramid = 6 cm.

We have to find the surface area of the pyramid.

Surface area of the pyramid = area of base + area of lateral faces.

Area of base = 5² = 25 cm²

Area of one lateral face = (base) (height)

                                       = × 5 × 6 = 15 cm²

Total area of 4 lateral faces = 4 × 15 = 60 cm²

Now surface area of square pyramid = 25 + 60 = 85 cm²

Option C. 85 cm² is the answer.

the answer is simply just 6n add the two together as they have an n