Question

A piece of wood is measured to have 2 cm x 5 cm x 3 cm of volume.  Its mass is 20.0 g.  What is its density?

Answer 1

`\boxed {\tt (2)/(3) \ or \ 0.666666667 \ g/cm^3}`

Step-by-step explanation:

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

`d=(m)/(v)`

The mass is 20 grams.

We have to find the volume.

• To find the volume, multiply the length by the width by the height.
• V= l*w*h
• l= 2 cm, w= 5 cm, h= 3 cm
• V= 2 cm * 5 cm * 3 cm = 30 cm³

`m= 20 \ g\\v= 30 \ cm^3`

Substitute the values into the formula.

`d=(20 \ g)/(30 \ cm^3)`

Divide.

`d=(2)/(3) \ g/cm^3`

`d= 0.666666667 \ g/cm^3`

The density is 2/3 grams per cubic centimeter.