Answer:
[tex]\boxed {\boxed {\sf d \approx 9.56 \ g/cm^3}}[/tex]
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.
[tex]d=\frac {m}{v}[/tex]
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.
- [tex]6.9 \ kg *\frac{1000 \ g }{1 \ kg} = 6.9 * 1000 \ g= 6900 \ g[/tex]
Now we know the mass and volume. Substitute the values into the density formula.
[tex]d=\frac{ 6900 \ g }{722 \ cm^3}[/tex]
[tex]d= 9.5567867 \ g/cm^3[/tex]
Let's round to the nearest hundredth. The 6 in the thousandth place tells us to round the 5 to a 6.
[tex]d \approx 9.56 \ g/cm^3[/tex]
The density of the plastic is about 9.56 grams per cubic centimeter
