The mass of a substance is 10 grams. in magnitude, the volume is three more than the density, which is measured in g/cm3. what is the density of this substance?

Explanation:

The expression to use to calculate the density of any substance is the following:

d = m/V  (1)

Where:

m: mass (g)

V: Volume (mL or cm³)

Now, we don't have data for the volume of the substance, but the problem states that volume of the substance is three times more than the density, in other words, it means:

V = 3d (2)

With this, we can replace it in (1), and we can calculate the density still:

d = m / 3d  (3)

Solving for d, we have the following:

m = 3d²

d² = m/3

d = √m/3 (4)

All we have to do now, is replace the value of the mass here and solve for density:

d = √10/3

d = √3.33

d = 1.82 g/cm³

This is the density of the substance

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