Answer:
The height of the roof in his house is 72.43 ft.
Step-by-step explanation:
The volume of square pyramid is :
B= area of the base.
h= the height.
Given that,
The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.
The side length of the base of the roof is 28 feet.
Since the base of the roof is square in shape.
The area of the square is = side²
The area of the base is =(28×28) square feet
=784 square feet
Assume the height of the roof be h ft.
Then, the volume of the roof is =
square feet.
According to the problem,
ft.
The height of the roof in his roof is 72.43 ft.