A cube has sides that are 3.0cm long.The mass of the cube is 54g

1 answer

To find the density of the cube, you can use the formula for density:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

  1. 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:

\[ V = (3.0 , \text{cm})^3 = 27.0 , \text{cm}^3 \]

  1. Find the Mass of the Cube:

The mass of the cube is given as 54 g.

  1. 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.