The mass of a solid is 3.60 grams and it's volume is 1.8 cubic centimeters. What is the density of the solid expressed to the correct number of significant numbers
Density is ratio of mass and volume.
therefore Density is equal to mass/ volume
but mass =3.60gand volume =1.8cm3
therefore density is equal to 3.60/1.8
density = 2.0gcm3
Taking into account the definition of density, the density of the solid is 2 \(\frac{g}{cm^{3} }\).
First of all, density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. That is, density is a quantity referred to the amount of mass in a given volume of a substance or an object.
Being the relationship between the weight (mass) of a substance and the volume it occupies, the density is calculated as the quotient between the mass of a body and the volume it occupies, obtaining the expression:
\(density=\frac{mass}{volume}\)
In this case, you know that:
Replacing in the definition of density:
\(density=\frac{3.6 g}{1.8 cm^{3} }\)
Solving:
density= 2 \(\frac{g}{cm^{3} }\)
Finally, the density of the solid is 2 \(\frac{g}{cm^{3} }\).
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