Question

If the areas of three adjacent faces of a cuboid are x y and z respectively, then the volume of the cuboid is?

Answer 1

$\sqrt{xyz}$

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Let the length breadth and height of the cuboid be L,B,H Units respectively.

Now Area of the adjacent face of the cuboid are X,Y and Z respectively.

Area of face ABCD = X × H = X ....( 1 )

Area of face ACGF = B × H = Y... ( 2 )

Area of face ABEF = L × B = Z... ( 3 )

Multiplying equation (1) (2) and (3) we get

XYZ = L² B² H²

L² B² H² = XYZ

$(ibh) = \sqrt{xyz}$

Where IBH is volume of the cuboid.

$v = \sqrt{xyz} \: \: is \: answer$

Answer 2

Answer:

$v = \sqrt{xyz}$

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