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A prism has three times the volume of a pyramid with the same base and altitude?

True


Is it true that a prism have two times the volume of a pyramid with the same base and altitude?

No, it is not true.


A prism has three times the volume of pyramid with the same and altitude?

Same base and same altitude. Yes, that is correct.


How does the volume of a prism compare to the volume of the pyramid with the same base and height?

The volume of the prism is three times as much as that of the prism.


Is the volume of a prism 3 times the volume of a pyramid?

Yes.


Why do you divide the volume of a rectangular pyramid by 3?

The volume of a rectangular pyramid is calculated using the formula ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). The division by 3 arises from the geometric relationship between a pyramid and a prism: a pyramid can be thought of as one-third of a prism with the same base area and height. This reflects how the pyramid fills space compared to the prism, leading to the factor of one-third in the volume formula.


How many times greater is the volume compared to the orgianl prism?

To determine how many times greater the volume of a new prism is compared to the original prism, you need to divide the volume of the new prism by the volume of the original prism. This ratio will give you the factor by which the volume has increased. For example, if the new prism has a volume of 120 cubic units and the original prism has a volume of 30 cubic units, the new prism's volume is 4 times greater.


What is the formula for determining volume?

Volume of a right prism: Area of Base times Height. Volume of a cube: Vertex cubed. Volume of a rectangular prism: Length times Width times Depth.


What is the volume of this prism?

The area of the cross section times the height of the prism


What is the formula for finding the volume of a rectangular prism prism?

Volume = (length) times (width) x (height)


How do you get the volume of a square prism?

For a square prism, a rectangular prism, or a cube you multiply length times width times height.


Why divide by 3 for volume of a pyramid?

Because the volume of a pyramid is 1/3 times base area times height