Question

Find the surface area of a square pyramid, where the side of the square is 16 in and the height of the pyramid h=6 in

Answer 1

Surface square pyramid = 4* surface triangle + surface square.
Surface triangle = 0.5*b*h
b=16 in
h=sqrt((0.5*16)²+6²)=sqrt(8²+6²)=sqrt(100)=10 in
Surface triangle = 0.5*16*10=80 in²
Surface square = side * side
Surface square = 16*16=256 in
Surface square pyramid = 4 * 80 + 256 = 320 + 256 = 576 in²