a metallic cube of mass M and dencity D is kept on a table .find the pressure on table.

To find the pressure on the table, we need to understand the concept of pressure and apply it to this scenario. Pressure is defined as the force exerted per unit area. In this case, the force is the weight of the cube, which can be calculated using the formula:

Force = mass * acceleration due to gravity

The mass of the cube is given as M, and acceleration due to gravity is a constant, approximately 9.8 m/s^2. Hence, the force on the table can be calculated as:

Force = M * 9.8

The area on which the cube is placed determines the pressure. If the cube is placed on an area A, then the pressure on the table can be calculated by dividing the force by the area:

Pressure = Force / Area

Now, let's calculate the pressure on the table using the given information.

You mentioned that the cube has a density D, which is the ratio of mass to volume:

Density = Mass / Volume

Since the cube is metallic, we can assume it has a constant density throughout. The volume of a cube is given by:

Volume = (side length)^3

Let's assume the side length of the cube is L. Then, the volume can be written as:

Volume = L^3

Now, we can substitute the density formula into the volume formula and rearrange it to solve for the side length:

Density = Mass / (side length)^3
(side length)^3 = Mass / Density
(side length) = (Mass / Density)^(1/3)

Once we have the side length, we can calculate the area:

Area = (side length)^2

Finally, we can substitute the calculated values into the formula for pressure to get the answer.

I hope this explanation helps you understand the concept and the steps involved in finding the pressure on the table.