Question

3) A cuboid has dimension 4m x 6m x 1m and weight 288N. Find maximum and minimum pressure applied by the cuboid on the ground for class 8​

Answer 1

Given:

A cuboid has dimension 4m x 6m x 1m and weight 288N.

To find:

Maximum & Minimum pressure on cuboid ?

Calculation:

• For max pressure, area of contact has to be minimum.

• Similarly, for pressure to be minimum, area has to be maximum.

$\sf \: P_{max} = \dfrac{force}{area_{min} }$

$\sf \implies\: P_{max} = \dfrac{288}{(4 \times 1) }$

$\sf \implies\: P_{max} = \dfrac{288}{4 }$

$\sf \implies\: P_{max} = 72 \: Pa$

Now, minimum pressure:

$\sf \: P_{min} = \dfrac{force}{area_{max} }$

$\sf \implies\: P_{min} = \dfrac{288}{(4 \times 6) }$

$\sf \implies\: P_{min} = \dfrac{288}{24 }$

$\sf \implies\: P_{min} = 12 \: Pa$

Hope It Helps.