Question

The areas of three adjacent faces of a cuboid are x,y and z. If the

Volume V, prove that V2

= xyz.​

Answer 1

Step-by-step explanation:

Let the 3 dimensions of the cuboid be l,b and h

So,

x=lb

y=bh

z=hl

multiplying above three equations,

xyz=lb×bh×hl =l²b²h²

As,

V=lbh

So,

V²=l²b²h²

V²=xyz

Hence Proved

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