To find mass when you have density and volume, you can use the formula:
Mass=Density×Volume\text{Mass}=\text{Density}\times \text{Volume}Mass=Density×Volume
This means you multiply the density of the substance by its volume to get the mass.
Explanation and Formula
- Density is defined as mass per unit volume: D=MVD=\frac{M}{V}D=VM.
- Rearranging this formula to solve for mass gives: M=D×VM=D\times VM=D×V.
- Here, MMM is mass, DDD is density, and VVV is volume.
Example
If a substance has a density of 8 grams per cubic centimeter and a volume of 25 cubic centimeters, the mass is:
M=8 g/cm3×25 cm3=200 gramsM=8,\text{g/cm}^3\times 25,\text{cm}^3=200,\text{grams}M=8g/cm3×25cm3=200grams
Make sure the units of density and volume are consistent so the mass units come out correctly. This formula and approach are widely used and can be remembered easily with the density-mass-volume triangle, where covering the mass gives the operation D×VD\times VD×V.
