If a prism and pyramid have the same height and the volume of the prison is 10 92 units What is the volume of pyramid
To solve this problem, we need to know the formula for calculating the volume of a prism and a pyramid.
The formula for calculating the volume of a prism is:
Volume = base area x height
The formula for calculating the volume of a pyramid is:
Volume = (1/3) x base area x height
Since the prism and the pyramid have the same height, we can compare their volumes by looking at the ratio of their base areas.
Let's assume the base area of the prism is A. Therefore, the volume of the prism is:
Volume of prism = A x h = 10 92 units
Since the volume of the prism is 1092 units, we can find the base area of the prism by dividing the volume by the height:
A = Volume / h = 1092 / h
Now, we can calculate the volume of the pyramid using the formula:
Volume of pyramid = (1/3) x A x h
Volume of pyramid = (1/3) x (1092 / h) x h
Volume of pyramid = 364 units
Therefore, the volume of the pyramid is 364 units.