To find the height of the base, we can use the formula for the surface area of a triangular pyramid:
Surface Area = (1/2) x (base perimeter) x (slant height) + (base area)
We are given that the surface area is 100 ft^2, the base is 6 ft, and the slant height is 8 ft.
So, we have:
100 = (1/2) x (6+6+6) x 8 + 1/2 x (6 x 6)
Simplifying,
100 = (1/2) x 18 x 8 + 1/2 x 36
100 = 72 + 18
100 = 90
This equation is not true, so the given values are not correct.
Niko has an outdoor play tent in the form of a regular triangular pyramid, covered in fabric on all four sides. The surface area of the tent is 100 ft.2 , the base is 6 ft., and the slant height is 8 ft. What is the height of the base to the nearest tenth?(1 point)
Responses
372 ft.
372 ft.
6.5 ft.
6.5 ft.
57.3 ft.
57.3 ft.
9.3 ft.
1 answer