Question

The moon’s average density is about 3.34 grams per cubic centimeter. what is this density in units of pounds per cubic inch?

Answer 1

This problem only needs the conversion factor for grams to lbs and centimetre to inches. The conversion factor that would be used are 1 lb = 453.592 grams and 1 inch = 2.54 cm. Thus you would divide 3.34 grams with 453.592 grams then multiply it with the cube of 2.54 cm. The answer would be 0.1207 lb/in^3. 

Answer 2

As per the question the average density of the moon [ω]$= 3.34gram/cm^3$

The density of a substance is defined as mass per unit volume.Mathematically density ω =$\frac{mass}{volume}$

                                                    We are asked to convert this value from $gram/cm^3$ to $pound/inch^3$

We know that one gram is equal to .0022 pound i.e

                                      1 gram=.0022 lb

Again one centimetre is equal to .394 inch i.e

                                     1 cm=.394 inch

      Hence density[ ω]= 3.34 $gram/cm^3$  

                            ⇒ω$= 3.34*\frac{0.0022lb}{[0.399inch]^{3} }$

                            ⇒ω$=3.34*\frac{.0022}{.061162984} lb/inch^3$

                            ⇒ω$=0.120138 lb/inch^3$    [ans]