Question 972747
When corresponding lengths of similar solids are in a ratio {{{r}}} ,
corresponding surface areas are in the ratio {{{r^2}}} ,
and volumes are in the ratio {{{r^3}}} .
The ratio of corresponding slant heights is {{{22m/"14 m"=11/7}}} .
So, the ratio of the volumes is {{{(11/7)^2=1331/343}}} .
The volume of the larger pyramid is {{{1331/343}}} the volume of the smaller pyramid.
The volume of the smaller pyramid is {{{343/1331}}} times the volume of the smaller pyramid, or
{{{(343/1331)138m^2=about}}}{{{highlight(35.56m^3)}}}