Answer:
1505 cubic centimeters
Step-by-step explanation:
Lengths are related by scale factor "k"
Volumes are related by scale factor "k^3"
From large to small:
What multiplied by 18, gives us 6? We can write:
18(k)=6
k = 6/18 = 1/3
So scale factor is 1/3
Now in terms of volume, the larger is given as 40, 635, so we can set up:
40,635 * k^3 = smaller volume
we know k = 1/3, so
40,635 * (1/3)^3 = smaller volume
Thus, smaller volume = 40,635 * (1/3)^3 = 1505
