Answer:
The volume of the larger pyramid is equal to
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
In this problem, the ratio of the height is equal to the scale factor
step 2
Find the volume of the larger pyramid
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> volume of the smaller pyramid
y----> volume of the larger pyramid
we have
substitute