Let the edges of the brick be a,b, and c such that $aa2+b2=32=9....(1) a2+c2=(2√3)2=12...(2) b2+c2=(√15)2=15...(3) Adding all three equations. We get 2(a2+b2+c2)=9+12+15=36 a2+b2+c2=18...(4) From (1) and (4),c=3 From (3) and (4),a=√3 Therefore, required ratio =