Answer:
[tex]\boxed {\tt d= 2 \ g/cm^3}[/tex]
Explanation:
Density can be found using the following formula.
[tex]d=\frac{m}{v}[/tex]
where [tex]m[/tex] is the mass and [tex]v[/tex] is the volume.
We know the mass is 24 grams. We must find the volume.
Since it is a rectangle, the volume can be found using the following formula.
[tex]v=l*w*h[/tex]
The length is 2 centimeters, the width is 3 centimeters and the height is 2 centimeters.
[tex]v= 2 \ cm * 3 \ cm * 2\ cm[/tex]
[tex]v= 6 \ cm^2 * 2\ cm[/tex]
[tex]v= 12 \ cm^3[/tex]
Now we know the volume, and can substitute it into the density formula.
[tex]d=\frac{m}{v}[/tex]
[tex]m= 24 \ g\\v= 12 \ cm^3[/tex]
[tex]d=\frac{24 \ g}{12 \ cm^3}[/tex]
[tex]d= 2 \ g/cm^3[/tex]
The density is 2 grams per cubic centimeter.
