# If the areas of t

Given: areas of three adjacent faces of a cuboid are x, y, z respectively.

Let l, b, h be the length , breadth, height of the cuboid respectively.

l × b = x – 1

b × h = y – 2

h × l = z – 3

Volume of the cuboid is: l × b × h

multiply eq’s –1, –2, –3

That is ,

l × b × b × h × l × h = x × y × z l2 × b2 × h2

l2 × b2 × h2 = xyz

(l × b × h)2 = xyz

(V)2 = xyz (Volume of the cuboid is: l × b × h)

V = √xyz

V = √xys

That is volume of the given Cuboid is : √xyz

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