Question

A cuboid of dimensions 3 m × 2 m × 1 m is placed on a horizontal plane in such way that pressure exerted on the horizontal plane is maximum. If the pressure exerted due to cuboid on the horizontal plane is 10 Pa, then the weight of the cuboid will be

Options:
20 N
40 N
30 N
60 N​

Answer 1

Answer:

Option (1) 20 N

Step-by-step explanation:

The pressure on a plane is given by

$\boxed{P=\frac{F}{A}}$

Where, F is the force on the plane and A is the area of contact

The pressure will be maximum when area of contact will be minimum

Minimum area of contact will be when the face with area A = 2 × 1 = 2 m² is on the horizontal surface

Given the pressure

$P=10$Pa

$P=10$ N/m²

or, $\frac{W}{2}=10$

or, $W=20$ N

Thus, the weight of the cuboid is 20 N

Hope this helps.