An illustration shows a triangle with its base as 20 feet and its perpendicular height as 6 feet.
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 600 ft.3 , what is the volume of the pyramid?
pls
To find the volume of the pyramid, we first need to find the area of the triangular base.
The area of a triangle is calculated using the formula A = 1/2 * base * height.
In this case, the base is 20 feet and the perpendicular height is 6 feet.
So, the area of the triangular base is A = 1/2 * 20 * 6 = 60 square feet.
Since the height of both the prism and the pyramid is the same, the volume of the pyramid will be 1/3 of the volume of the prism.
Therefore, the volume of the pyramid is 1/3 * 600 ft^3 = 200 ft^3.