Question

The ratio of SI unit of volume to that of C.G.S unit of volume is $10^{6}: 1$.
A True
B False

Answer 1

Hint: Definition of the system unit for CGS and SI. Obtain the units that we use in both CGS and SI units for volume. Obtain the formula for conversion from the CGS unit to the SI unit or vice versa. Put these values in the volume unit to find the volume unit conversion.

Complete answer:
The CGS system is a unit system where $\mathrm{cm}$ is used as the unit of length, gramme is used as the unit of mass, and second as the unit of time.
The system of units based on meter, kilograms, second, ampere, kelvin, candela, and mole is the Si unit or International system of units. We also have a set of prefixes to indicate the power of ten to multiply and divide. It is possible to define the volume of an object as the space occupied by the object or the space contained within the container.
The SI unit of volume is cubic meter or $m^{3}$.
It is possible to define a metre cube simply as the volume occupied by a side cube of one metre each.
The CGS volume unit value is $c m^{3}$.
We know that the conversion from meter to $\mathrm{cm}$ is given as, $1 \mathrm{~m}=100 \mathrm{~cm}$
Ratio of SI to C.G.S unit $=\dfrac{m^{3}}{cm^{3}}=\dfrac{100^{3}}{ c m^{3}}=\dfrac{10^{6}}{1}$
Thus, the given statement is true.
The correct option is (A).

Note:
The volume dimension is $\left[\mathrm{L}^{3}\right] .$ The volume expresses the amount of space occupied by an object. It is ascertained by Other length measurements, which are a fundamental quantity. So it's called a unit derived from it. Each measurement system. Defines the unit volume that exists for that system. Any length unit gives a corresponding volume unit. In the empirical system, barrels, bushels, drams, gills, pecks, teaspoons, cubic inches, cubic legs and other units are used. In SI systems, cubic meters, liters, cubic centimeters, and other units are used.