To find the density of the cube, you can use the formula for density:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
- Calculate the Volume of the Cube:
The volume \( V \) of a cube can be calculated using the formula:
\[ V = \text{side}^3 \]
Given that each side of the cube is 3.0 cm:
\[ V = (3.0 , \text{cm})^3 = 27.0 , \text{cm}^3 \]
- Find the Mass of the Cube:
The mass of the cube is given as 54 g.
- Calculate the Density:
Now, substitute the mass and volume into the density formula:
\[ \text{Density} = \frac{54 , \text{g}}{27.0 , \text{cm}^3} = 2.0 , \text{g/cm}^3 \]
So, the density of the cube is 2.0 g/cm³.