How Do You Find the Density of a Cube?

To find the density of a cube, you divide its mass by its volume: Density = Mass / Volume.

Here's a breakdown of the process:

1. Determine the Mass: Measure the mass of the cube using a balance or scale. The mass is typically measured in grams (g) or kilograms (kg).

2. Calculate the Volume: The volume of a cube is found using the formula: Volume = side³, where 'side' is the length of one side of the cube. Measure the length of one side of the cube (all sides are equal in a cube). The side length is typically measured in centimeters (cm) or meters (m).

3. Calculate the Density: Divide the mass (in grams) by the volume (in cubic centimeters) to get the density in grams per cubic centimeter (g/cm³). Alternatively, you can use kilograms (kg) and cubic meters (m³) to get the density in kilograms per cubic meter (kg/m³). The formula is:

   Density = Mass / Volume

   or

   ρ = m / V

   where:

   • ρ (rho) is the density
   • m is the mass
   • V is the volume

Example:

Let's say you have a cube with:

• Mass (m) = 54 grams
• Side length (side) = 3 cm

1. Volume Calculation: Volume = side³ = 3 cm 3 cm 3 cm = 27 cm³

2. Density Calculation: Density = Mass / Volume = 54 g / 27 cm³ = 2 g/cm³

Therefore, the density of the cube is 2 g/cm³.

Units:

It's important to use consistent units when calculating density. Common units for density include:

• grams per cubic centimeter (g/cm³)
• kilograms per cubic meter (kg/m³)

Ensure that your mass and volume measurements are in compatible units before performing the calculation.