A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 in, the height of the base is 4.3 in., and the slant height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid. (1 point)
O 47.25i * n ^ 2
O 52.25 ln.^ 2
O 58.25in .^ 2
O 55.75 ln.^ 2
The correct formula to find the surface area of a triangular pyramid is
Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height
Given that the base has a length of 5 in and a height of 4.3 in, we can calculate the base area as
Base Area = (1/2) * base length * height = (1/2) * 5 * 4.3 = 10.75 in^2
The perimeter of the base is simply the sum of the lengths of the three sides, which in this case is 5 + 5 + 5 = 15 in.
Now, we can calculate the surface area as
Surface Area = 10.75 + (1/2) * 15 * 6
Surface Area = 10.75 + 45
Surface Area = 55.75 in^2
Therefore, the correct answer is:
O 55.75 in^2