To find the volume of the pyramid, we first need to determine the formula for finding the volume of a pyramid with a triangular base.
The formula for the volume of a pyramid is:
\[ V = \frac{1}{3} \times \text{base area} \times \text{height} \]
Since the base of the pyramid is the same as the base of the prism, the base area is the same for both shapes.
Therefore, the volume of the pyramid will be one-third of the volume of the prism.
Given that the volume of the prism is 600 ft, the volume of the pyramid will be:
\[ V = \frac{1}{3} \times 600 = 200 \text{ ft}^3 \]
So, the volume of the pyramid is 200 ft³.
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 600ft. what is he volume of the pyramid
1 answer
1 answer