Question

How do you calculate mass using density and volume?

Answer 1

Hint: To solve this question, it must be known what the mass, volume, and density of a substance are. The density of a substance is measured by dividing the mass of the substance by its volume. Now, by knowing the expression for density the mass of the substance can be determined by writing the equation of density in mathematical form, and then by rearranging the equation, the equation for mass can be obtained.
 Formula used: ${\text{Density = }}\dfrac{{{\text{mass}}}}{{{\text{volume}}}}$

Complete step by step answer:
The amount of matter in a substance is referred to as the mass of the object. It is measured in terms of grams or kilograms. No matter the geographical location or the force that is applied to it, the quantity of matter remains the same.
While volume is the amount of three-dimensional space that has been occupied by a gas, liquid, or even a solid.
We know that the density of a substance is equal to mass per unit volume.
Mathematically we can express density as ${\text{Density = }}\dfrac{{{\text{mass}}}}{{{\text{volume}}}}$
Now, by simplifying the expression mentioned above. We obtain,
$\text{Density} \times \text{Volume} = \text{mass}$
Therefore from the above-obtained expression, we determine that the mass of a substance is equal to the density multiplied with the volume.

Note: Mass of a substance is mentioned in units such as grams or kilograms. Since the mass of a quantity is not dependent on the gravitational force, no matter the physical location, it will not vary. However, weight, which is mass multiplied by the gravitational force, will vary depending on the location of the substance. The volume is written in terms of centimeter cube or meter cube. While density’s unit is kilogram per meter cube.