Question

Determine the density of an object that is 25 cm long 10 cm wide and 2 cm high with a mass of 50 g

Answer 1

`\boxed {\boxed {\sf \rho= 0.1 \ g/cm^3 }}`

Step-by-step explanation:

Density is found by dividing the mass by the volume.

`\rho=(m)/(v)`

The mass is 50 grams, but we have to find the volume.

Assuming this is a solid rectangular object, we can use this formula for volume:

`v=l*w*h`

The length is 25 centimeters, the width is 10 centimeters, and the height is 2 centimeters.

`v= 25 \ cm * 10 \ cm * 2 \ cm`

`v= 250 \ cm^2 * 2 \ cm`

`v= 500 \ cm^3`

Now we know the mass and volume:

`m= 50 \ g\\v= 500 \ cm^3`

Substitute the values into the formula.

`\rho = (50 \ g)/(500 \ cm^3)`

`\rho= 0.1 \ g/cm^3`

The density of the object is 0.1 grams per cubic centimeter.