Question

An object has a density of 3.25 kg/m?. If it has a total volume of 12.65m?. What is the object's mass?

Answer 1

The object's mass is 41.1125 kilograms.

Step-by-step explanation:

We can use the general density equation to determine the mass.

Density Equation

`p=(m)/(V)`

`p` is the density

`m` is the mass

`V` is the volume

Lets solve for
`V`.

Multiply both sides of the equation by
`V`.

`p*V=(m)/(V)*V`

Cancel out the common factor of
`V` on the right side.

`pV=m\\m=pV`

Now we have an equation for mass.

We are given

`p=3.25`

`V=12.65`

Substituting our values into our equation gives us

`m=3.25*12.65\\m=41.1125`

Notice the unit of the given density

`kg/m`

Our answer will be in kilograms