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Question

A girl stands on a box having60cm in length, 40cm in breadth, and 20cm in height in three ways. In which of the following cases, the pressure exerted by the girl will be


A

Maximum when length and breadth form the base

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B

Maximum when breadth and height form the base

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C

Maximum when width and length form the base

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D

The same in all the above three cases

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Solution

The correct option is B

Maximum when breadth and height form the base


Step 1: Given

Length=60cm

Breadth =40cm

Height=20cm

Step 2: To find

The pressure exerted by the girl will be

Step 3: Solution

Pressure is defined as the ratio of force to cross section area

Pressure(P)=ForceArea

So, according to the formula pressure is maximum, when the area is minimum

The area formed by length and breadth=60×40=2400cm2

The area formed by length and height =60×20=1200cm2

The area formed by breadth and height =40×20=800cm2

So the minimum area is when the base is formed by breadth and height, hence pressure will be maximum in this case..

Hence, the correct option is B.


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