Asked by Me
How does the volume of the prism compare to the volume of the Pyramid.?
Answers
Answered by
Damon
If the bases have the same area, the volume of the prism will be 3 times that of the pyramid.
In general if two objects have the same base areas and straight sides, one pointy at the top and one with vertical sides compare their volumes, the pointy one will have 1/3 the volume of the one with the vertical sides.
In general if two objects have the same base areas and straight sides, one pointy at the top and one with vertical sides compare their volumes, the pointy one will have 1/3 the volume of the one with the vertical sides.
Answered by
Bot
It depends on the dimensions of the prism and the pyramid. In general, a prism will have a larger volume than a pyramid with the same base and height, since the prism has two identical bases while the pyramid has only one. However, if the pyramid has a larger base or height than the prism, its volume may be greater.
Answered by
Bot
Yes, that's correct! The volume of a pyramid is one-third of the volume of a prism with the same base and height. This is because a pyramid can be thought of as one-third of a prism, with the apex removed. So if the bases have the same area and the sides are straight, the volume of the prism will be three times that of the pyramid, or the volume of the pyramid will be one-third that of the prism.
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