What is the lateral area of a rectangular pentagon pyramid that has a slant height of 16 in. and a base side length of 8 in.

1 answer

A rectangular pentagon pyramid has 5 rectangular lateral faces and a pentagonal base.

Each lateral face has a length of 8 in and a height of 16 in, since the slant height is the height of each triangular face.

Therefore, the lateral area of one face is:
lateral area of one face = 8 in x 16 in/2 = 64 in^2

Since there are 5 lateral faces, the total lateral area is:

total lateral area = 5 x 64 in^2 = 320 in^2

Answer: 320 square inches