137k views
24 votes
Piece of plastic has a mass of 6.9 kg and a volume of 722 cm3. What is its density in g/cm3?

User LionC
by
4.1k points

2 Answers

3 votes

Answer:

mass = 6.9 kg = 6900 g

volune= 722 cm3

density= mass/volume

density= 6900/722

= 9.55 g/ cm3

User Vadziec Poplavsky
by
4.2k points
5 votes

Answer:


\boxed {\boxed {\sf d \approx 9.56 \ g/cm^3}}

Step-by-step explanation:

We want to find the density of the plastic in grams per cubic centimeter.

Density is found by dividing the mass by the volume.


d=\frac {m}{v}

We know the mass is 6.9 kilograms and the volume is 722 cubic centimeters We must convert kilograms to grams.

  • There are 1000 grams in 1 kilogram.

  • 6.9 \ kg *(1000 \ g )/(1 \ kg) = 6.9 * 1000 \ g= 6900 \ g

Now we know the mass and volume. Substitute the values into the density formula.


d=( 6900 \ g )/(722 \ cm^3)


d= 9.5567867 \ g/cm^3

Let's round to the nearest hundredth. The 6 in the thousandth place tells us to round the 5 to a 6.


d \approx 9.56 \ g/cm^3

The density of the plastic is about 9.56 grams per cubic centimeter

User Henesnarfel
by
3.9k points