# How do you calculate mass using density and volume?

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1006
Apr 20, 2016

In order to find mass when you have density and volume, you use the relationship

$\text{Density" = "Mass"/"Volume}$

#### Explanation:

You multiply both sides of the equation by the volume and get:

$\text{Mass " = " Volume × Density}$

Here are two example calculations:

Example 1

A piece of aluminum has a volume of ${\text{6.0 cm}}^{3}$ and a density of ${\text{2.70 g/cm}}^{3}$. What is its mass?

Solution

$\text{Mass" = 6.0 cancel("cm"^3) × "2.70 g"/(1 cancel("cm"^3)) = "16.2 g}$

$\text{ }$

Example 2

Calculate the mass of $\text{30.0 mL}$ of methanol, if the density of methanol is $\text{0.790 g/mL}$.

Solution

$\text{Mass" = 30.0 cancel("mL") × "0.790 g"/(1 cancel("mL")) = "23.7 g}$

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172
Meave60 Share
Feb 23, 2015

Density is the mass per unit of volume of a substance. The density equation is:

$\text{Density}$ = $\text{Mass"/"Volume}$

To solve the equation for Mass, rearrange the equation by multiplying both sides times Volume in order to isolate Mass, then plug in your known values (Density and Volume). Then solve for Mass.

$\text{Mass}$ = $\text{Density x Volume}$

Example

The density of copper is ${\text{8.933 g/cm}}^{3}$. What is the mass of a sample of copper with a volume of ${\text{10.00 cm}}^{3}$?

$\text{Mass"_"Cu}$ = $\text{8.933g"/"1cm"^3}$ x $\text{10.00 cm"^3}$ = $\text{89.33 g}$

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