Question

A sheet of metal is 32.7mm wide and 80.4mm long. If it weighs 5.501g and the density of the metal is 2.70g/cc, what is the thickness of the sheet? (in mm)

I know that the density formula is d=m/V and that to get the thickness of the sheet I would need to find the height which I can use the volume formula lxwxh, but I am unsure how to convert cc or to get rid of it i just don't know

Answer 1

Okay I did this in chemistry. The lab was called thickness of a thin layer.

so basically we know two sides
that gives us area. which is two dimensions
and we need the other one for three dimensions.

A of the sheet is 32.7 mm * 80.4 mm= 2629.08
Now we need to find the volume from the density given and the mass
but the problem is we have cc and mm
so we have to convert it first
1 cc = 1000mm^3
2.70/1000
new line is
0.0027g/mm^3
now we can get the volume from the mass
5.501g x 1mm^3/0.0027g grams (we wants the volume so V = m/d)
2037.41 mm^3 is what we get
now to get the layer lets remove two dimensions. Which was the area. to get the unkown dimension (height)
2037.41mm^3/ 2629.08 mm^2
Height = 0.77 mm

Answer 2

if 1cc is = to 1000mm^3 then why would 2.70g/cm^3 be 0.0027g/mm^3? Wouldn't it be 2700mm^3?

Answer 3

now all we did was change the unit on the bottom. so 1 cc= 1000mm
i divided it because it was under the 2.70g bar.
how do you have 2700mm^3? you can't just get rid of the g. then it wouldn't be a density.

Answer 4

i meant to put the g sorry, but what do you mean by under the 2.70g bar? If it's 2.70g/cc 1cc=1000mm^3 still. I don't understand that

Answer 5

2.70 g/cc is a fraction
under the fraction bar