If the areas of the adjacent faces of a rectangular block are
in the ratio of 3:2:1 and its volume 9000 cu.cm then the
length of the shortest side is
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Answer:
Let lb = 2x, bh = 3x and lh = 4x
Then,
24x3=(lbh)2=9000×9000⇒x3=375×9000⇒x=150
So, lb = 300, bh = 450, lh = 600 and lbh = 9000
∴h=9000300=30l=9000450=20&b=9000600=15
Hence, shortest side = 15 cm
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