Question

A cuboid has dimensions of $0.4m\times 0.6m\times 0.2m$ and a weight of 288 kg-f. What is the maximum pressure exerted by the cuboid?

Answer 1

Given,

$F=288\times 9.8=2822.4N$

$l=0.4m$

$b=0.6m$

$h=0.2m$

Pressure, $P=\frac{F}{A}$

From the above equation, we can say that pressure is inversely proportional to the area, pressure is maximum when area is minimum.

$a=lb=0.4\times 0.6=0.24m^2$ (maximum area)

$a^{\prime }=bh=0.6\times 0.2=0.12m^2$

$a^{\prime \prime }=hl=0.2\times 0.4=0.08m^2$ (minimum area)

$P=\frac{F}{a^{\prime \prime }}=\frac{2822.4}{0.08}=225.789N/m^2$