A rectangular wooden block has length, breadth and height of 50 cm, 25 cm and 10 cm, respectively. This wooden block is kept on ground in three different ways, turn by turn. Which of the following is the correct statement about the pressure exerted by this block on the ground?
(a) the maximum pressure is exerted when the length and breadth form the base
(b) the maximum pressure is exerted when length and height form the base
(c) the maximum pressure is exerted when breadth and height form the base
(d) the minimum pressure is exerted when length and height form the base.

Here given, length$=50\ cm$, breadth$=25\ cm$ and height$=10\ cm$

Area when length and breadth from base $=50\ cm\times25\ cm=1250\ cm^2$ 

Area when breadth and height from base $=25\ cm\times10\ cm=250\ cm^2$

Area when height and length from base $=50\ cm\times10\ cm=500\ cm^2$

And we know the formula for the pressure exerted as $\boxed{pressure=\frac{force}{area}}$.

From the formula, we can say that pressure is inversely proportional to the area.

$Pressure\propto\frac{1}{area}$

Here, the area is least when breadth and height from the base. So, the maximum pressure is exerted when breadth and height form the base.

So, option (c) is correct.

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Updated on: 10-Oct-2022

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