
Concept explainers
Determine the density of the following object in

Interpretation:
The density of agiven object in gram per cubic centimeter (
Concept introduction:
The formula for the volume
The relationship between density, volume, and mass is as follows:
Here,
Conversion factors are used to convert units of measurement of the same quantity without changing its value.
Conversion factors are derived from the unity bracket method of unit conversion, which consists of a fraction derived from the equality. The units of the denominator and the numerator are different.
The use of a conversion factor to solve numerical problems is called dimensional analysis.
Answer to Problem 3KSP
Option (a).
Explanation of Solution
Given information:
Thelength of the edge of the cube is
The volume of the cube is given by the expression given below:
Substitute the value of the length of the edge of the cube in the above expression as shown below:
The relation between meter
Thus, the conversion factor to obtain volume in
Multiply the conversion factor with
The calculated volume of the givencube is
The relation between grams
Thus, the conversion factor to obtain mass in
Multiply the conversion factor with
The converted mass of thegiven cube is
The relationship between density, volume, and mass is as follows:
Substitute
So, the density is
Hence, option (a) is correct.
Reasons for incorrect options:
Option (b) is incorrect because, according to the above calculation, the value
Option (c) is incorrect because, according to the above calculation, the value
Option (d) is incorrect because, according to the above calculation, the value
Option (e) is incorrect because, according to the above calculation, the value
Hence, options (b), (c), (d), and (e) are incorrect.
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Chapter 1 Solutions
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