Density¶

Density regards to the mass in a given unit volume of an object. For example, lets say the unit is centimetres, and the density is \(5g/cm^3\) that means there is 5g for every centimetre cubed in that object. Say the object has a volume of \(25cm^3\), it has a mass of \(25 * 5 = 125g\).

Equation¶

\[ p = \frac{m}{v} \]

Where:

\(p\) is the density of the object
\(m\) is the mass of the object
\(v\) is the volume of the object

Use to calculate the mass of an object¶

Given the density and volume of an object, you can establish the mass of said object.

A cube, with a side length of 6cm, has a density of 3g/cm(^3). What is its mass?

1. Establish the volume of the cube.
   volume of a cube = side length ^ 3
                      6           ^ 3 = 216cm(^3)

2. Rearrange the density equation
   density = mass / volume
   mass = density * volume

3. Use the rearranged density equation to establish the density of the cube.
   mass = density * volume
          3       * 216 = 648g

Calculate the density of an object¶

Given the mass and volume of an object, you can establish the density of said object.

A cube, with a side length of 6cm, has a mass of 648g. What is its density?

1. Establish the volume of the cube.
   volume of a cube = side length ^ 3
                      6           ^ 3 = 216cm(^3)

2. Use the density equation to establish the density of the cube.
   density = mass / volume
             648  / 216    = 3g/cm(^3)

Use to calculate the volume of an object¶

Given the density and the mass of an object, you can establish the volume of said object.

A cube, with the density of 3g/cm(^3), has a mass of 648g. What is the volume of the
cube?

1. Rearrange the density equation
   density = mass / volume
   mass = density * volume
   volume = mass / density

2. Use the rearranged density equation to establish the volume of the cube.
   volume = mass / density
            648  / 3       = 216cm(^3)

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