If A,B,C denote the area of 3 continuous faces of a rectangular solid

1.	If A,B,C denote the area of 3 continuous faces of a rectangular solid cuboid and V it's volume , prove that.
Answer» Solution :- Let, LENGTH = L breadth = b height = h ◆ A = l × h ◆ B = b × h ◆ C = l × b Volume = V V= l × b × h † squaring on both SIDE † V² = l² × b² × h² V² = ( l × b × h ) × ( l × b × h ) V² = ( l × h ) × ( b × h ) × ( l × b ) V² = A × B × C HENCE, PROVED

If A,B,C denote the area of 3 continuous faces of a rectangular solid cuboid and V it's volume , prove that.

Answer»

Solution :-

Let,

LENGTH = L
breadth = b
height = h

◆ A = l × h

◆ B = b × h

◆ C = l × b

Volume = V
V= l × b × h

† squaring on both SIDE †

V² = l² × b² × h²

V² = ( l × b × h ) × ( l × b × h )

V² = ( l × h ) × ( b × h ) × ( l × b )

V² = A × B × C

HENCE,

PROVED

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If A,B,C denote the area of 3 continuous faces of a rectangular solid cuboid and V it's volume , prove that.​

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If A,B,C denote the area of 3 continuous faces of a rectangular solid cuboid and V it's volume , prove that.