The mass of an object is equal to the product of the object's density and volume. The density of steel is 7.8 grams per cubic centimeter. What is the volume of a piece of a sheet of steel that has a mass of 3.75 kilograms?

Density is the measure of the weight of the object at a certain volume or the volume of an object with a certain weight. To solve for density we are to divide the weight by the volume.
Now, we are asked for the volume given density and mass. The answer is 480cm^3. Note: Make sure the units are consistent.

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JeanaShupp JeanaShupp · Answer 2 · 2019-05-21T06:24:17+02:00

Answer: 480.77 cubic centimeters.

Step-by-step explanation:

Given:The density of steel = 7.8 grams per cubic centimeter.

Mass of the sheet of steel = 3.75 kilogram = 3750 grams

The mass of an object is equal to the product of the object's density and volume.

i.e. to find the volume, we need to divide the mass by the object's density.

[tex]\text{Volume}=\dfrac{\text{Mass}}{\text{Density}}\\\\\Rightarrow\text{Volume}=\dfrac{3750}{7.8}\\\\\Rightarrow\text{Volume}=480.769230\approx480.77\ cm^3[/tex]

Therefore, the volume of a piece of the sheet of steel = 480.77 cubic centimeters.