If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is
Given,
Ratio of areas of adjacent faces of cube = 2:3:4
Volume of block = 9000 cm3
= A1:A2:A3 = 2:3:4
= bh:lb:lh = 2:3:4
= b:l = 2:3
=h:l = 2:4
= h:b = 3:4 and v = lbh
Assume that , l = 6x , b= 4x , h = 3x
= 
= 
= x = 
So, smallest edge would be 3x = 3×5 = 15 cm
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