Question

Name the unit in which the volume of liquid is generally measured. How can this unit be related to L.
\[
  {{A)\;\;\;\;kilogram, 1 litre = 1}}{{\text{0}}^{\text{6}}}{{\text{m}}^{\text{3}}} \\
  {{B)\;\;\;\;\;litre, 1 litre = 1}}{{\text{0}}^{\text{6}}}{{\text{m}}^{\text{3}}} \\
  {{C)\;\;\;\;\;litre, 1 litre = 1}}{{\text{0}}^{{\text{ - 3}}}}{{\text{m}}^{\text{3}}} \\
  {{D)\;\;\;\;litre, 1 litre = 1}}{{\text{0}}^{{\text{ - 3}}}}{\text{c}}{{\text{m}}^{\text{3}}}
 \]

Answer 1

Hint: To measure the given unit, a unit of measurement and its conversion is required. A unit conversion is a conversion between different units of measurement for the same quantity, usually via a multiplication conversion factor.
Step by step solution: Volumes can be measured in any way that determines the amount of three-dimensional space occupied by an object. Units such as liters, cubic centimeters, and ounces are remembered, although there are many units used.
Volume is generally measured in liter,
\[{\text{1 Litre = 1}}{{\text{0}}^{{\text{ - 3}}}}{{\text{m}}^{\text{3}}}\]

Hence option C is correct.

Additional Information: Dimensions are physical quantities that can be measured, while units are arbitrary names that relate to particular dimensions to make it relative (for example, a dimension is length, while a meter is a relative unit that describes length).
Unit is a thing in which quantities are known and measured. Every measurement has two parts, the first is a number (n) and the next is a unit (u). Q = nu. A number expressing the magnitude of a physical quantity is inversely proportional to the unit selected.
The quantities which are independent of other quantities are called fundamental quantities and the units that are used to measure these fundamental quantities are called fundamental units. There are four systems of units like C.G.S, M.K.S, F.P.S, and SI.

Note: A unit less quantity is one that does not include any fundamental quantity. It has no units and therefore has no dimensions. The dimension is zero. Examples are angle, elastic stretch, Poisson's ratio, etc.
To check the correctness of physical relationships and to change the value of a physical quantity from one system to another, dimension analysis is used.