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Question
show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume
show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume
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Solution
Let the Length of cuboid = l
Breadth = b
Height = h
Area of base = l × b
area of two adjacent walls = l × h and b × h
Now product of area of base and two adjacent walls = (l × b) ( l × h) ( b × h)
= (l × b × h)2
= (volume of cuboid)2
Let the Length of cuboid = l
Breadth = b
Height = h
Area of base = l × b
area of two adjacent walls = l × h and b × h
Now product of area of base and two adjacent walls = (l × b) ( l × h) ( b × h)
= (l × b × h)2
= (volume of cuboid)2
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