Answer:
[tex]\boxed {\sf v= 8.0 \ cm^3}[/tex]
[tex]\boxed {\sf d=9 \ g/cm^3}}[/tex]
Explanation:
1. Volume
First, we must find the cube's volume. The volume is the amount of space an object takes up. The formula for a rectangular prism's volume is length times width times height. Since a cube has equal sides, it is simply the side length cubed.
[tex]v= s^3[/tex]
The cube has a side length of 2.0 centimeters on each side.
[tex]v= (2.0 \ cm)^3[/tex]
[tex]v= 2.0 \ cm * 2.0 \ cm *2.0 \ cm[/tex]
[tex]v= 8.0 \ cm^3[/tex]
2. Density
Next, we must find the cube's density. The density is the mass per unit volume. The formula is mass over volume.
[tex]d= \frac{m}{v}[/tex]
The mass of the cube is 72 grams and we just calculated the density to be 8.0 cubic centimeters.
[tex]d= \frac{ 72 \ g}{8.0 \ cm^3}[/tex]
[tex]d= 9 \ g/cm^3[/tex]
The volume of the cube is 8 cubic centimeters and the density is 9 grams per cubic centimeters.
