A paperweight in the shape of a square pyramid has a side length of 8.2 inches. The slant height is 15.9 inches. What is the surface area of the paperweight?

Respuesta :

The base of the pyramid is the side length squared
Base Area = (side length)(side length)
                  = (8.2)(8.2)
                  = 67.24 

The slant length and side length is used to calculate the area of one slated face of the pyramid. Using the formula for a trangle (bh/2) we can find the area of one face

Face= bh/2
        = 8.2(15.9)/2
        = 130.38/2
        = 65.19

As there are 4 faces, and one base the total area is the sum of 4 faces and the base area

A= 4F+BA
   = 4(65.19) + 67.24
   = 260.76 + 67.24
   = 328 in²

Answer:

328 is the answer