Let
y---------> width of the base smaller prism
z--------> height of the smaller prism
we know that
if the prism are similar
length side larger prism=factor*length side small prism
then
6=factor*2---------> factor=6/2--------> 3
volume small prism=2*y*z
30=2*y*z
volume larger prism=6*(3y)*(3z)------> 27*[2*y*z]------> 27*[volume small prism]
volume larger prism=3³*volume small prism
volume larger prism=3³*volume small prism---------> 27*30----> 810 cm³
the answer is 810 cm³
