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How do you calculate the volume of the cube?

the volume \(V\), of a cube is equal to the length of its sides \(s\), cubed.
\[V =s^3\]

so you would cube the 2.72?

you are given that the sides are \(s=2.72[\text{cm}]\)

What volume does this make?

If you cube the 2.72 cm?

yes,

20.123648 cm^3

6.460061317g/cm^3

So 6.460

(that is four significant figures)

Whoops
6.46

yeah, i would leave my final answer as \(\varrho=6.46\,[\text g/\text{cm}^3]\)

OK, well since the substance is the same, the density (an intrinsic quality) will remain the same

rearranging\[\varrho=m/V\]
we get\[m =\varrho\cdot V\]
again the volume of a cube is \(s^3\)

7.51^3 = 423.564751

now multiply that, by the density we found earlier

2736.228291

and what are the units?

grams

since mass was being calculated for

yeah, so what is our final answer with units (and to 3sig.figs)

Alright and if it wants it in scientific notation would it be 2.73 x 10^3?

\[2.74 \times 10^3\,[\text g]=2.74\,[\text{kg}]\]

Thanks. Didn't notice the 6 there.

Thanks for the help!

(as we should expect for a substance of constant density )

I didn't notice that. That's interesting and that does make sense for it to.