Volume of three cuboids

Calculate the total volume of all cuboids for which the the size of the edges are in a ratio of 1:2:3, and one of the edges has a size 6 cm.

Correct result:

V =  1506 cm3

Solution:

x=6 a1=x=6 b1=2x=2 6=12 c1=3x=3 6=18 V1=a1 b1 c1=6 12 18=1296 a2=x/2=6/2=3 b2=x=6 c2=3 x/2=3 6/2=9 V2=a2 b2 c2=3 6 9=162 a3=x/3=6/3=2 b3=2 x/3=2 6/3=4 c3=x=6 V3=a3 b3 c3=2 4 6=48 V=V1+V2+V3=1296+162+48=1506 cm3



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