Maria is studying the phenomenon of pyramid power She has re

Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown. The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid? 1935 cm squared 3353 cm squared 5289.25 cm squared 8642.5 cm squared

Solution

Now, the formula of base a and height h, square pyramid is a^2 + 2a(a^2/4 + h^2)

The vertex of base square to center of square is sqrt(22^2 +22^2) = 22sqrt(2)

the slant height also measures 44

So, h = sqrt(44^2 - 22sqrt(2)^2) = 31.12

a = 44, no folling in we get volume = 5289.78

Option C is right