A triangular pyramid has a base with an area of 7 square centimeters and lateral faces with bases of 4 centimeters. What is the surface area of the pyramid?

79cm

Step-by-step explanation:

I took the liberty of getting the complete question suce the one provided isn't and here it goes:

a trianglular pyramid has a base with an area of 7 square centimeters

and layeral faces with bases of 4 centimeters and height of 12

centimeters. what is the surface area of the pyramid

-- - All we need to do here is to add up the areas of the base and the lateral faces.

Since we are dealing with a triangular pyramid there are 3 lateral faces.

The area of the base is given as 7 square cm

Each face is a triangle with base = 4 cm and height = 12 cm so

each face has an area of

A = (1/2) * base * height = (1/2) * 4 * 12 = 24 square cm

There are 3 lateral faces so the total surface area is

3x + 7 = 3 * 24 + 7 = 79 cm²