Question

A square pyramid is 4 feet on each side. The height of the pyramid is 6 feet. What is the total area of the pyramid?

Answer 1

Answer:

$A = 16 + 16\sqrt{10 }$

Step-by-step explanation:

Given dimensions of a pyramid:

Length = l = 4 feet

Width = w = 4 feet for square base (w=l)

Height = h = 6 feet

The formula to find the area of square pyramid is = $A = l^{2} + 2l\sqrt{\frac{l^{2} }{4} + h^{2} }$

=> $A = 4^{2} + 2(4)\sqrt{\frac{4^{2} }{4} + 6^{2} }$

=>$A = 16 + 8\sqrt{{4 + 36 }$

=> $A = 16 + 8\sqrt{{40 }$

=>$A = 16 + 8\sqrt{{2^{2} *10 }$

=> $A = 16 + 16\sqrt{10 }$