Question

show that the produduct of areas of the floor and two adjacent walls of a cuboid is the square of its volume.

Answer 1

Dimensions of the hall :

Let length of the hall = l units

Breadth of the hall = b units

Hight of the hall = h u its

i ) Area of the floor = lb sq. umits --------( 1 )

ii ) Area of the one adjacent wall = lh sq units ----------( 2 )

iii ) Area of the second adjacent wall = bh sq units -----( 3 )


Product of three areas = ( 1 ) × ( 2 ) × ( 3)

= lb × lh × bh ( sq unit )^3

= l^2 × b ^2 × h ^2

= ( lbh ) ^2

= ( volume ) ^2 (sq units )^3

I hope this helps you.

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