Question

If the density of a 45.0 cm3 block of wood is 0.65 g/ml what is the mass of the wood?

Answer 1

`\boxed {\tt mass=29.25 \ grams}`

Step-by-step explanation:

The density formula is mass over volume.

`d=(m)/(v)`

Rearrange the formula for the mass, m. Multiply both sides of the formula by v.

`d*v=(m)/(v)*v`

`d*v=m`

Mass can be found by multiplying the density and volume. The density is 0.65 grams per milliliter and the volume is 45.0 cubic centimeters.

• A cubic centimeter is equal to a milliliter.

• Therefore, 45 cubic centimeters also equals 45 milliliters.

`d= 0.65 \ g/mL\\v= 45 \ mL`

Substitute the values into the formula.

`0.65 \ g/mL * 45 \ mL=m`

Multiply. Note the milliliters, or mL will cancel out.

`0.65 \ g * 45=m`

`29.25 \ g=m`

The mass of the wood is 29.25 grams.