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Density

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Mathematics
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For density problems, the formula is Density= mass/volume. If also helps to know the units that are
used for each term to know where they fit in the formula. For density, the unit is usually grams/cubic
centimeter. The unit for mass is going to be given in grams. The unit for volume is given in cubic
centimeters. I will show you how to solve for density at the end of our problem, but I am going to show
you a simpler method that I prefer to use. This is the density triangle. You plug the terms into the
appropriate place and either multiply or divide, based on where the numbers are placed. The density
triangle is pictured below:
To answer the question, you replace the words in the above problem with numbers in the problem, use
the units to guide you.
Mass = grams
Density = grams/cubic centimeter
Volume = cubic centimeter
To solve, you will multiply across the vertical line and divide across the horizontal.
So, let’s look at the problem we are given: What is the volume in cubic centimeters of a mass of 300
grams having a density of 60 grams per cubic centimeter?
In this question, we are given mass (300 grams), which we know is mass because of the unit given as just
grams. We are also given density (60 grams per cubic centimeter), which we know because of the unit
given as grams/cubic centimeter. For my problems, I like to list the terms of the problem and the values
given and identify the unknown as x. Then we will plug into our density triangle and solve.
Density (D) = mass (m)/ volume (V)
D= 60 grams/cubic centimeter
m= 300 grams
V= x (what we are looking for)
Mass
Density
Volume

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For density problems, the formula is Density= mass/volume. If also helps to know the units that are used for each term to know where they fit in the formula. For density, the unit is usually grams/cubic centimeter. The unit for mass is going to be given in grams. The unit for volume is given in cubic centimeters. I will show you how to solve for density at the end of our problem, but I am going to show you a simpler method that I prefer to use. This is the density triangle. You plug the terms into the appropriate place and either multiply or divide, based on where the numbers are placed. The d ...
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