SAT Mathematics Practice Test 4

Question : 25 of 58

Marks: +1, -0

The density of an object is equal to the mass of the object divided by the volume of the object. What is the volume, in milliliters, of an object with a mass of 24 grams and a density of 3 grams per milliliter?

0.125
8
21
72

Validate

Solution:

The density of an object is equal to the mass of the object divided by the volume of the object, which can be expressed as

\text "density"=\text "mass"/\text "volume"

. Thus, if an object has a density of 3 grams per milliliter and a mass of 24 grams, the equation becomes

3 \text "grams/milliliter" =\text "24grams"/\text "volume"

This can be rewritten as volume

=\text "24grams"/3 \text "grams/milliliter"=8

milliliters
Choice A is incorrect and be may be the result of confusing the density and the volume and setting up the density equation as

24 = 3/\text "volume"

. Choice C is incorrect and may be the result of a conceptual error that leads to subtracting 3 from 24. Choice D is incorrect and may be the result of confusing the mass and the volume and setting up the density equation as

24=\text "volume"/3

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