Question

Using the graphing above find the total surface area of the right square pyramid if the height is 24 and the base edge is 16

Answer 1

1065

Explanation:

A right square pyramid consist of

1. 1 base area which is a square, area of square = l²
2. 4 triangles, area of a triangle = 1/2 (slant height)(base)

area of 4 triangle = 2 (slant height)(base)

In question we are given perpendicular height of pyramid not the slant height so first we will calculate the slant height.

By using pythagorus:

Slant height = √(24²+8²)

= 8√10

Surface area = baseArea + 2 (slant height)(base)

= 16² + 2( 8√10)(16)

= 1065