Answer:
[tex]\boxed {\boxed {\sf \rho \approx 2.67 \ g/cm^3}}[/tex]
Explanation:
Density can be found by dividing the mass by the volume.
[tex]\rho=\frac{m}{v}[/tex]
The mass of the wood is 40.0 grams and the volume is 15.0 cubic centimeters.
[tex]m= 40.0 \ g \\v= 15.0 \ cm^3[/tex]
Substitute the values into the formula.
[tex]\rho=\frac{40.0 \ g}{15.0 \ cm^3}[/tex]
Divide.
[tex]\rho= \frac{8}{3} \ g/cm^3[/tex]
As a decimal the density is:
[tex]\rho =2.6666666 \ g/cm^3[/tex]
This can be rounded to the nearest hundredth. The 6 in the thousandth place tells us to round the 6 to a 7.
[tex]\rho \approx 2.67 \ g/cm^3[/tex]
The density of the wood is about 2.67 grams per cubic centimeters.
