Chapter 2, Problem 63A

Interpretation Introduction

Interpretation:

The relationship between the SI unit for length and the SI unit for volume needs to be explained.

Concept introduction:

The International System of Units or SI units are the modern form of metric system. The second (s) is the SI unit of time, metre (m) is the SI unit of length, kilogram (kg) is the SI unit of mass), ampere (A) is the SI unit of electric current etc.

Answer to Problem 63A

The product of three measurements of length (length, width and height are measured in meter, a SI unit for length) is equal to volume. Thus, one cubic meter $\left({\text{m}}^{\text{3}}\right)$ is the SI unit for volume.

Explanation of Solution

The SI unit for the volume is similar to that of the SI unit for length. Volume is equal to length multiplied by width multiplied by height i.e. $\left(\text{Length}\times \text{width}\times \text{height}\right)$. Thus, there are three measurements of length (length, width and height are measured in meter, a SI unit for length) equal to volume. Therefore, one cubic meter $\left({\text{m}}^{\text{3}}\right)$ is the SI unit for volume.

Conclusion

The product of three measurements of length (length, width and height are measured in meter, a SI unit for length) is equal to volume. Thus, one cubic meter $\left({\text{m}}^{\text{3}}\right)$ is the SI unit for volume.