Question

A girl stands on a box having$60cm$ 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 baseStep 1: Given Length$=60cm$Breadth $=40cm$Height$=20cm$Step 2: To findThe pressure exerted by the girl will beStep 3: SolutionPressure is defined as the ratio of force to cross section areaPressure$\left(P\right)=\frac{Force}{Area}$So, according to the formula pressure is maximum, when the area is minimumThe area formed by length and breadth$=60×40=2400c{m}^{2}$The area formed by length and height $=60×20=1200c{m}^{2}$The area formed by breadth and height $=40×20=800c{m}^{2}$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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