Question

Each side of the cube is measured to be 7.203m. What is the volume of the cube to an appropriate significant figure?
(A) $373.7{{m}^{3}}$
(B) $311.3{{m}^{3}}$
(C) $211.3{{m}^{3}}$
(D) $3737{{m}^{3}}$

Answer 1

Hint: The amount of substance present in a given volume of a solution is expressed in terms of molarity, molality, mole fraction, and mass percentage in several ways. In nature many properties like length, area, volume, etc. are quantitative. The physical quantities such as speed, volume, density, etc. can be derived from SI unit measurement.

Complete answer:
Volume has the units of ${{(length)}^{3}}$ and in the SI system volume has units $c{{m}^{3}}$ and liter (L) is a measurement of volume for liquids. In chemistry laboratories, small volume is used often in $c{{m}^{3}}$ units.
Each side of the cube given, let us consider length ‘a’=7.203m
Volume of the given cube, V = ${{a}^{3}}{{m}^{3}}$
Substitute the length of each side cube in the above formula,
V = ${{(7.203)}^{3}}$ = $373.714754427{{m}^{3}}$
Since the value of each side of the cube has 4 significant figures, so the value of the volume of the cube must have 4 significant figures.
So, the volume of cube = $373.7{{m}^{3}}$
Hence, Each side of the cube is measured to be 7.203m. what is the volume of the cube to appropriate significant figure = $373.7{{m}^{3}}$

The correct answer is option A.

Note:
In the laboratory, the volumetric analysis by calculating the volume of the solution. Measuring the volume of solutions or liquids by burette, pipette, etc. preparation of a known volume of solution by the volumetric flask. These are measuring apparatus used in volumetric analysis.