Question

What is the mass of an object that has the density of 14 g/ml and volume of 10 mL?

Answer 1

`color(purple)("The object has a mass of 140g")`

Explanation:

To calculate the density of the object, we have to use the following formula:

• Density will have units of `g/(mL)` when dealing with a liquid or units of `g/(cm^3)` when dealing with a solid.

• The mass has units of grams, `g`.

• The volume will have units of `mL` or `cm^3`

We are given the density and volume, both of which have good units so all we have to do is rearrange the equation to solve for the mass:

`densityxxvolume=(mass)/(cancel"volume")xxcancel"volume"`

`color(blue)("Density")` `xx` `color(blue)("Volume = Mass")`

`(14g)/cancel"mL"xx10cancel"mL"`

Thus, the object has a mass of 140g.