Answer:
[tex]SA=592.50\text{ ft}^2[/tex]
Step-by-step explanation:
We have been given that a square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. We are asked to find the surface area of the square pyramid.
We will use surface area of square pyramid to solve our given problem as:
[tex]SA=2a^2+4ah[/tex], where,
a = Length of each side of base,
h = Height of lateral face.
Upon substituting our given values in above formula, we will get:
[tex]SA=2(7.5\text{ ft})^2+4(7.5\text{ ft})(16\text{ ft})[/tex]
[tex]SA=2(56.25\text{ ft}^2)+480\text{ ft}^2[/tex]
[tex]SA=112.5\text{ ft}^2+480\text{ ft}^2[/tex]
[tex]SA=592.50\text{ ft}^2[/tex]
Therefore, the surface area of the given square prism would be 592.50 square feet.
