Question
If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu. cm ;
then the length of the shorest side is :
Answer: Option B
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Let lb = 2`x , bh = 3x and lh = 4x`
Then , `24x^3 = (lbh)^2 = 9000 xx 9000`
`rArr x^3 = 375 xx 9000` ` rArr x = 150`
so, lb = 300, bh = 450, lh = 600 and lbh = 9000.
`:.` ` h = 9000/300 = 30, l = 9000/450 = 20 and b = 9000/600 = 15`
Hence , shortest side = 15 cm.
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