A loaf of bread has a volume of "2270 cm"^32270 cm3 and a mass of "454 g"454 g. What is the density of the bread?

1 Answer
Stefan V.
Apr 1, 2018

"0.200 g cm"^(-3)0.200 g cm−3

Explanation:

The idea here is that the density of the loaf of bread will tell you the mass of exactly 11 unit of volume of bread, i.e. of "1 cm"^31 cm3 of bread.

In your case, the loaf of bread is said to have a volume of "2270 cm"^32270 cm3 and a mass of "454 g"454 g. In order to find the density of the bread, you must figure out the mass of "1 cm"^31 cm3 of bread.

To do that, you can use the mass and the volume of the loaf of bread as a conversion factor.

1 color(red)(cancel(color(black)("1 cm"^3))) * "454 g"/(2270 color(red)(cancel(color(black)("1 cm"^3)))) = "0.200 g"

So if "1 cm"^3 of bread has a mass of "0.200 g", you can say that the density of the loaf of bread is

color(darkgreen)(ul(color(black)("density = 0.200 g cm"^(-3)))

The answer is rounded to three sig figs, the number of sig gigs you have for your values.

Notice that you can get the same answer by dividing the total mass of the loaf of bread by the total volume it occupies.

"density" = "454 g"/"2270 cm"^3 = 454/2270 quad "g"/"cm"^3 = "0.200 g cm"^(-3)

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