The largest ruby in the world has a volume of 575 cm3and a density of 3.97 g/cm3. What is the mass of the ruby?

The mass of the ruby = 2.28 × 10³g

Explanation:

density = mass/volume

We know that volume = 575cm³  and that density = 3.97g/cm³.

We are solving for the mass, thus we'll have to rearrange this equation.

Now, the equaiton becomes mass = density × volume

Plugging the numerical values in, we have m = 3.97g/cm³× 575cm³.

= 2282.75g.

As we can see, the cm³ cancel and all we are left with is grams.

Lastly, we need to make this equation correct to 3 significant figures. (Both values are given to us to 3 sig figs ∴ this is how we know that it should be correct to 3 decimal places/sig figs).

2282.75 = 2.28 × 10³ (scientific notation) or 2280 (the zero at the end is just a holding place. We have to make sure we include it because all though it's insignificant as far as sig figs go, it still needs to be there since 2280 definitely doesn't mean 228. That's a whole 2000 you'd get gipped!)

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