Question

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

Answer 1

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

Answer 2

simplify [7835 + {752 +(825 + 115-415÷5)} } nhi