Question

What is the volume, in milliliters, occupied by 30.07 g of an object of density equal to

1.48 g/mt?

Answer 1

`\boxed {\tt 20.317567567568 \ mL}`

Step-by-step explanation:

The density formula is:

`d=(m)/(v)`

Let's rearrange the formula for
`v`. the volume. Multiply both sides by
`v`, then divide by
`d`.

`d*v=(m)/(v)*v`

`d*v=m`

`(d*v)/(d)=(m)/(d)`

`v=(m)/(d)`

The volume can be found by dividing the mass by the density. The mass of the object is 30.07 grams and the density is 1.48 grams per milliliter.

`m= 30.07 \ g\\d= 1.48 \ g/mL`

`v=(30.07 \ g)/(1.48 \ g/mL)`

Divide. Note, when dividing, the grams, or
`g` will cancel out.

`v= (30.07)/(1.48 \ mL)`

`v=20.317567567568 \ mL`

The volume of the object is 20.317567567568 milliliters.