Question

A piece of metal has a density of 11.3 g/cm^3 and a volume of 6.7 cm^3 what is the mass of the piece of metal?

Answer 1

`75.71g~~75.7g`

Explanation:

`"Density"=("Mass")/("Volume")`

`"Mass"="Density"*"Volume"=11.3*6.7=75.71g`

Answer 2

`75.71 g`

Explanation:

We use "dimensional analysis" to line up all of the terms to get the desired answer. It will also show us if there are any term that we are missing.
We want "mass". Grams is a measure of mass, and one of our data points includes grams. We also have a volume - the same dimension for both terms, so we don't need to do any conversions. Let's line up these terms to get the desired final mass value.

`11.3(g/"cm"^3) xx 6.7 cm^3 = 75.71 g`