20 points! two similar solids have heights of 6 cm and 9 cm. if the volume of the smaller solid is 88 cm^3, calculate the volume of the larger solid.
give an explanation with your answer! !

Explanation:

The volume of a solid is given by the multiplication of its three dimensions:

In this case we have two similar solids with volumes   and , and we only have information about the height of each solid and .

Now, there is a theorem for  similar solids, which establishes the ratio of their volume is and the ratio of one of their corresponding sides (the height in this case) is .

Knowing this, we can write the following relation:

Substituting the known values:

Fially finding :

answer a fan shaped mass of sediment deposited at the base of a mountain front do to an abrupt change in stream gradient;