Answer:
322.5in²
Explanation:
The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base.
The general formula for the total surface area of a regular pyramid is
1/2pl+B
where p represents the perimeter of the base, l the slant height and B the area of the base.
perimeter of base = 3(15)
= 45 in
slant height = 10 in
base area of the base(triangle) = 1/2 height of base triangle * base
= 1/2 (13)*(15)
= 97.5 in²
total surface area = 1/2(45)(10) + 97.5
= 225 + 97.5
= 322.5 in²