Density is mass divided by volume. If the volume of an object is [tex]5 \text{ cubic meters}[/tex], and the density is [tex]3 \frac{kg}{m^3}[/tex], then what is the mass in kilograms?



Answer :

To find the mass of an object given its density and volume, we can use the formula for density, which is:

[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]

Given:
- The volume of the object is 5 cubic meters.
- The density of the object is [tex]\(3 \, \text{kg/m}^3\)[/tex].

We want to find the mass of the object. Rearrange the density formula to solve for mass:

[tex]\[ \text{Mass} = \text{Density} \times \text{Volume} \][/tex]

Substitute the given values into the equation:

[tex]\[ \text{Mass} = 3 \, \text{kg/m}^3 \times 5 \, \text{m}^3 \][/tex]

[tex]\[ \text{Mass} = 15 \, \text{kg} \][/tex]

Therefore, the mass of the object is 15 kilograms.