Answer:
Area of pyramid = [tex]96[/tex]. square feet.
Step-by-step explanation:
Given : A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet.
To find: What is the total area of the pyramid.
Solution : We have given
Each side of square pyramid = 6 feet .
Height = 4 feet .
Area of pyramid = [tex](side)^{2} + 2* side\sqrt{\frac{(side)^{2}}{4} +height^{2}}[/tex].
Plug the values side = 6 feet , height = 4 feet .
Area of pyramid = [tex](6)^{2} + 2* 6\sqrt{\frac{(6)^{2}}{4} + 4^{2}}[/tex].
Area of pyramid = [tex]36+ 12\sqrt{\frac{36}{4} + 16}[/tex].
Area of pyramid = [tex]36+ 12\sqrt{9 +16}[/tex].
Area of pyramid = [tex]36+ 12\sqrt{25}[/tex].
Area of pyramid = [tex]36+ 12 *5[/tex].
Area of pyramid = [tex]36+ 60[/tex].
Area of pyramid = [tex]96[/tex]. square feet.
Therefore, Area of pyramid = [tex]96[/tex]. square feet.
