Doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.
Explanation:
The volume of the triangular pyramid is given by
where b is the base of the pyramid and
h is the height of the pyramid.
Doubling all the dimensions of the pyramid, we have,
and
Thus, volume of the triangular pyramid is given by
Multiplying, we get,
Thus, doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.