Question

What is the density of a wood that has a mass of 40.0 grams and a volume of 15.0 cm3?

Answer 1

`\boxed {\boxed {\sf \rho \approx 2.67 \ g/cm^3}}`

Step-by-step explanation:

Density can be found by dividing the mass by the volume.

`\rho=(m)/(v)`

The mass of the wood is 40.0 grams and the volume is 15.0 cubic centimeters.

`m= 40.0 \ g \\v= 15.0 \ cm^3`

Substitute the values into the formula.

`\rho=(40.0 \ g)/(15.0 \ cm^3)`

Divide.

`\rho= (8)/(3) \ g/cm^3`

As a decimal the density is:

`\rho =2.6666666 \ g/cm^3`

This can be rounded to the nearest hundredth. The 6 in the thousandth place tells us to round the 6 to a 7.

`\rho \approx 2.67 \ g/cm^3`

The density of the wood is about 2.67 grams per cubic centimeters.