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Question
an object has a mass of 230 g and a volume of 125 cm³. using the simplest possible words, what does the number 230/125 mean? what does the number 125/230 mean?
Step1: Recall density formula
Density ($
ho$) is defined as mass ($m$) divided by volume ($V$), i.e., $
ho=\frac{m}{V}$. Here, $m = 230$ g and $V=125$ cm³. The number $\frac{230}{125}$ represents the density of the object in grams - per - cubic - centimeter.
Step2: Analyze the reciprocal
The number $\frac{125}{230}$ is the reciprocal of the density. It represents the volume per unit mass of the object, that is, the volume (in cm³) per gram of the object.
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The number $\frac{230}{125}$ means the density of the object (mass per unit volume in g/cm³). The number $\frac{125}{230}$ means the volume per unit mass of the object (volume in cm³ per gram of mass).