The volume ratio of two similar figures is given to be 27:64.
It is required to find the multiplier of the volumes.
To find the multiplier, convert the volume ratio to fraction and reduce the fraction to the lowest term.
[tex]27:64=\frac{27}{64}[/tex]The fraction cannot be further reduced.
Hence, the multiplier for the volumes is 27/64.
The multiplier for the volumes is 27/64.