Q24 of 45 Page 11

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

Let length of cuboid =


breadth of cuboid = b cm


height of cuboid = h cm


So,


Area of floor = l × b=lb cm2


Product of areas of two adjacent walls = (l × h) × (b × h)


= lbh2 cm2


Product of areas of floor and two adjacent walls = lb × lbh cm6


= l2 b2 h2 =(lbh)2 cm6


= (volume of cuboid)2


Hence Proved.


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