Question

can someone please help me find the answer to the following

Answer 1

We will find the surface area of the square pyramid as follows:

*First: We determine the area of all the four faces of the pyramid:

$A_f=\frac{1}{2}(6)(5)\Rightarrow A_f=15$

So, the area of all four faces of the pyramid is:

$A_{4f}=4\cdot15\Rightarrow A_{4f}=60$

*Second: We determine the area of the base of the pyramid:

$A_b=6^2\Rightarrow A_b=36$

*Third: We determine the surface area:

$S_A=A_{4f}+A_b\Rightarrow S_A=60+36\Rightarrow S_A=96$

So, the surface area of the square pyramid is 96 square meters.