the area of three adjacent sides of a cuboid of x,y,z square units respectively.if the volume of the cuboid V cubic units then the correct relationship between V,x,y,z is?
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Let the sides of the cuboid be a,b and c
Given x,y and z are areas of three adajcent faces of the cuboid
Hence x=ab,y=bc,z=ca
(x) (y) (z)=(ab) (bc) (ca)
xyz = (abc)^2
abc=Square root xyz
Thus the volume of cuboid
V=abc=square root xyz
Given x,y and z are areas of three adajcent faces of the cuboid
Hence x=ab,y=bc,z=ca
(x) (y) (z)=(ab) (bc) (ca)
xyz = (abc)^2
abc=Square root xyz
Thus the volume of cuboid
V=abc=square root xyz
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