The density of Benzene is 0.879 g/mL. Calculate the mass in grams of 1.00 qt of Benzene."

You are given 0.879 g/mL benzene.

You need g/qt of benzene.

Always begin with what you know.

0.879 g/mL

You need a conversion factor for mL to quarts. So from the conversion table at:

http://www.sciencemadesimple.com/metric_conversion_chart.htmlYou find 1 mL = 0.034 fl oz

1 US quart = 32 fl oz

(Please note I make a distinction about US quart because this is not the same in Imperial designations)

This is how you set up the equation:

(0.879 g/mL) x (1mL/0.034 fl oz) x (32 fl oz/1 quart)

The mL cancel out of the equation.

The fl oz cancel out of the equation.

And you are left with g/quart.

When you do the calculation you get: 827.29 g/quart = 827 g/quart.

Now you question about cm^3 and dm^3...this is where learning conversion is important...where the tables become useful:

1 cm^3 = 1 mL

1000 mL = 1 L

1L = 1 dm^3

This is a cubic decimeter and is a unit of volume NOT a unit of length..

Like a cubic centimeter is a unit of volume.

Are yiou getting it???

Cubic decimeters are used in Physical Chemistry it is a common unit of measure for VOLUME. Often used for the volume an amount of gas occupies.

You have to recognize anything cubed is a volume...like think of a rubix cube....a cube is 3 dimensional and has a volume...

Something squared ia an area....like an area rug in your home....anything squared ai an area L x W is a squared area.

Anything cubed has a volume.