Chapter 2.1, Problem 6SSC

Interpretation Introduction

Interpretation:

Comparison between a base unit and a derived unit is to be made. Also, derived units for density and volumes are to be listed.

Concept introduction:

Prefix is a word or a letter or a number placed before another.

Answer to Problem 6SSC

Base units are fundamental unit whereas derived units are the combination of base units. The derived unit for volume and density are $c{m}^3$ and $g/c{m}^3$ respectively.

Explanation of Solution

Base units are the defined units in a system of measurement that are based on an object or event in the physical world. Base units are not dependent on other units. There are seven base units such as for length it is meter (m) and for time it is second (s).

Whereas any other unit that is obtained from the base units are known as derived units such as for speedmeter per second or m/s is a derived unit that consists of two base units.

The derived unit for volume is $c{m}^3$ and for density it is $g/c{m}^3$.

Conclusion

Hence, the base units are the seven fundamental units that is meter, second, kilogram, kelvin, etc. whereas when base units are combined they form a derived units such as meter per second. Volume’s unit is $c{m}^3$ and density’s unit is $g/c{m}^3$.