Answer:
[tex]\boxed {\boxed {\sf \rho= 0.1 \ g/cm^3 }}[/tex]
Explanation:
Density is found by dividing the mass by the volume.
[tex]\rho=\frac{m}{v}[/tex]
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:
[tex]v=l*w*h[/tex]
The length is 25 centimeters, the width is 10 centimeters, and the height is 2 centimeters.
[tex]v= 25 \ cm * 10 \ cm * 2 \ cm[/tex]
[tex]v= 250 \ cm^2 * 2 \ cm[/tex]
[tex]v= 500 \ cm^3[/tex]
Now we know the mass and volume:
[tex]m= 50 \ g\\v= 500 \ cm^3[/tex]
Substitute the values into the formula.
[tex]\rho = \frac{50 \ g}{500 \ cm^3}[/tex]
[tex]\rho= 0.1 \ g/cm^3[/tex]
The density of the object is 0.1 grams per cubic centimeter.