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

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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$\left(P\right)=\frac{Force}{Area}$

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

The area formed by length and breadth$=60\times 40=2400c{m}^{2}$

The area formed by length and height $=60\times 20=1200c{m}^{2}$

The area formed by breadth and height $=40\times 20=800c{m}^{2}$

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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