We are given two pyramids that are similar. We know the height of both of them, but the volume of just one of them.
When two solids are similar, the ratio of their volumes is equal to the ratio of their corresponding linear measures cubed.
Volume of the smaller solid/Volume of the bigger solid
=
(Height of the smaller solid/Height of the bigger solid)^3
We know that the height of the bigger solid is 24 meters and the volume is 4608 cubic meters. We also know that the height of the smaller solid is 12 meters. We can substitute these values into the formula and calculate the volume of the smaller solid, V.
Volume of the smaller solid/Volume of the bigger solid=(Height of the smaller solid/Height of the bigger solid)^3
