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Question

If the areas of the three adjacent faces of a cuboidal box are 120`cm^2`, 72 `cm^2` and 60`cm^2`  respectively , then  find the volume of the box .


Options:
A .  720`cm^3`
B .  864`cm^3`
C .  7200`cm^3`
D .  `(72)^2 cm^3`
Answer: Option A

Let the length , breadth and height of the box be  l, b and h respectively, Then ;

Volume =  lbh =  `sqrt((lbh)^2) =   sqrt (lb xx bh xx lh)`

 =` sqrt(120 xx 72 xx 60) = 720  cm^3`




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