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 what is the volume of the pyramid If the base is 20 ft and the height is 6 ft
First, let's calculate the volume of the prism:
Volume of a prism = Base area x Height
Base area of the prism = 0.5 x base x height = 0.5 x 20 x 6 = 60 ft^2
Volume of the prism = 60 ft^2 x 6 ft = 360 ft^3
Since the prism and pyramid have the same height, the volume of the pyramid will be 1/3 of the volume of the prism, as the pyramid has 1/3 the volume of a prism with the same height and base.
Volume of the pyramid = 1/3 x 360 ft^3 = 120 ft^3
Therefore, the volume of the pyramid is 120 ft^3.