If the density of and object is 4.0 g/cm3 and the mass is 4.0kg then how mach volume does the object occupy? Could you also show how you got there?

1 Answer
Feb 1, 2017

Answer:

The object occupies #1000cm^3#.

Explanation:

Alright so we know the formula for density is #rho=m/v#
=> where #rho# is the density with units of the derived components, #m# is the mass, and #v# is the volume.

We can rearrange this formula to get us the volume.

By doing so, we get #v=m/rho#. I got to this conclusion by using the "Triangle Method" - a diagram that provides an understand to how simple equations (multiply and divide) relate to one another.

I noticed that the density of the object is #4.0 g/(cm^3)#. That means that the derived components are the mass (in grams) and volume (in cubic centimetres).

Thus we have to convert the mass from #4 kg# to grams. We can do this by multiplying the mass by #1000#. We get #4000 g#.

Now we can use the formula we rearranged and plug in the numbers to solve for the volume.

#v=m/rho#

#=4000/4#

#=1000#

Therefore, the volume of the space that the object occupies is #1000cm^3#.

Hope this helps :)