Foundation
Mathematics Foundation
Cuboid
Surface Area and Volume
Question

The areas of three adjacent faces of a cuboid are x, y,z. If the volume is V, then V2 will be equal to

yz/x2

xy/z    

xyz

x2y2/z2

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Solution
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let the length, height and breadth of a cuboid be, l band h respectively, then area of three adjacent faces will be 
    ℓ.b.  = x    -------(1) 
    b.h. = y        -------(2) 
    h.ℓ.  = x    -------(3) 
    ℓ2 b2 h2 = xyz
    v2  = xyz