Question

The table below lists the masses and volumes of several pieces of the

same type of metal. There is a proportional relationship between the
mass and the volume of the pieces of metal.
Volume
(cubic centimeters)
3.4
7.3
13.8
Mass (grams)
38.182
81.979
154.974
Determine the volume, in cubic centimeters, of a piece of metal
that has a mass of 104.439 grams. Round your answer to the
nearest tenth.

Answer 1

To determine the volume of a piece of metal with a given mass, use the mass-to-volume ratio. Set up a proportion using the known values, cross-multiply, and solve for the unknown volume.

Step-by-step explanation:

To determine the volume of a piece of metal that has a mass of 104.439 grams, we can use the proportionality between mass and volume. From the given information, we can see that there is a mass-to-volume ratio for the metal. We can set up a proportion using this ratio and solve for the volume:

Mass1/Volume1 = Mass2/Volume2

Using the values given, we have:

38.182g/3.4cm³ = 104.439g/Volume2

Cross-multiplying and solving for Volume2, we get:

Volume2 = (3.4cm³ × 104.439g)/38.182g ≈ 9.36 cm³

Therefore, the volume of a piece of metal that has a mass of 104.439 grams is approximately 9.36 cubic centimeters.