The ratio of the heights of two similar pryramids is 2:5 and the volume of the smaller pyramid is 100 cubic feet. Find the volume of the larger pyramid.
Remember that
If two figures are similar the ratio of correspondig sides is proportional, and this ratio is called the scale factor
and
the ratio of their volumes is equal to the scale factor elevated to the cubic
so
In this problem
the scale factor is 2.5
therefore
Let
V -----> volume of the larger pyramid
so
V/100=(2.5)^3
V=100*(2.5^3)
V=1,562.5 ft3