Answer:
[tex]\boxed {\tt 20.317567567568 \ mL}[/tex]
Explanation:
The density formula is:
[tex]d=\frac{m}{v}[/tex]
Let's rearrange the formula for [tex]v[/tex]. the volume. Multiply both sides by [tex]v[/tex], then divide by [tex]d[/tex].
[tex]d*v=\frac{m}{v}*v[/tex]
[tex]d*v=m[/tex]
[tex]\frac{d*v}{d}=\frac{m}{d}[/tex]
[tex]v=\frac{m}{d}[/tex]
The volume can be found by dividing the mass by the density. The mass of the object is 30.07 grams and the density is 1.48 grams per milliliter.
[tex]m= 30.07 \ g\\d= 1.48 \ g/mL[/tex]
[tex]v=\frac{30.07 \ g}{1.48 \ g/mL}[/tex]
Divide. Note, when dividing, the grams, or [tex]g[/tex] will cancel out.
[tex]v= \frac{30.07}{1.48 \ mL}[/tex]
[tex]v=20.317567567568 \ mL[/tex]
The volume of the object is 20.317567567568 milliliters.
