A triangular pyramid has the base of 6 ft and the hight of 9 ft what is the total surface area ?

117 ft²

Step-by-step explanation:

Surface area of triangular pyramid = base area + ½(Perimeter of base * slant height)

Base area = ½*b*h = ½*9*6 = 27 ft²

Slant height = √(6² + 4.5²) = 7.5 ft (pythagorean theorem)

Perimeter = 7.5 + 7.5 + 9 = 24 ft

Plug in the values into the formula for surface area

Surface area = 27 + ½(24 * 7.5) = 117 ft²