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Click on
the triangles below to separate the pyramids.
This cube
has been split in three pyramids.
- Are these
pyramids equal?
And so the
volume of each pyramid is a third of the volume of the cube.
This helps
to deduce that the volume of any pyramid is a third of the volume of
the prism that has the same base and height.
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The
formula of the volume of a pyramid is the area of its base multiplied
by its vertical height and divided by three.
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The height
of a figure is measured perpendicularly to its base. The vertical height of a pyramid
is the distance from the apex -where the triangles of the lateral faces
converge- to the plane of its base.
It
doesn't matter that the pyramid is centred or inclined, it has the same
volume.
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