College

The cube with dimensions 6.00 m wide, 6.00 m long, and 6.00 m high has a weight of 900.00 N. What pressure does it exert?

Answer :

Final answer:

To find the pressure exerted by the cube, you can use the formula Pressure = Force / Area. First, calculate the mass of the cube, then find the force. Finally, divide the force by the area to get the pressure.


Explanation:

To find the pressure exerted by the cube, we can use the formula:

Pressure = Force / Area

The weight of the cube is given as 900.00 N. To find the force, we can use the equation:

Force = Mass x Acceleration due to gravity

Assuming that the cube has a uniform density, we can find the mass by multiplying the density of the cube by its volume:

Mass = Density x Volume

Since the cube has equal length, width, and height of 6.00 m, the volume can be calculated as:

Volume = length x width x height

Now that we have the mass and force, we can find the pressure by dividing the force by the area. Since the cube has 6 faces, the area of each face is:

Area = side x side

Substituting the given values into the formula, the pressure exerted by the cube is:

Pressure = Force / Area = (Mass x Acceleration due to gravity) / (Area)

Remember to convert the mass and weight into kilograms and calculate the area in square meters.


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