Question

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?

Answer 1

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 :)