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Mathematics 20 Online
OpenStudy (anonymous):

a regular triangular pyramid has an altitude of 6m. At what distance from its vertex must it be cut by a plane parallel to its base so that two solids of equal volume will be formed?

OpenStudy (anonymous):

volume of a pyramid= 1/3 (area of the base *height)

OpenStudy (anonymous):

u know the original volume of the pyramid...suppose it's V

OpenStudy (anonymous):

and if you cut the pyramid parallel to the base then top portion will also be a pyramid

OpenStudy (anonymous):

so this new pyramid should have a volume V/2...hence u can calculate the height of new pyramid

OpenStudy (anonymous):

thanks for the answer,, i already get the volume of the whole pyramid.. i just encounter difficulty in getting the right height of the top portion pyramid that must be the volume is equal to the volume of the other portion of the pyramid..

OpenStudy (anonymous):

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