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?

85 cm²

Step-by-step explanation:

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

A = s² = (5 cm)² = 25 cm².

If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,

A = (1/2)(base)(height), which here is

A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.

The total area of these sides is 4(15 cm²) = 60 cm².

Then the total surface area of the pyramid is A = 60 cm² +  25 cm²  = 85 cm².