Question

Volume is a derived quantity of length. True or false.
$\left( A \right)True$
$\left( B \right)False$

Answer 1

Hint: Volume is a three-dimensional space. Its SI unit is the cubic meter. It is the space that a substance occupies. Length is used to measure distance. Its SI unit is a meter. A derived quantity is one that can be derived from fundamental quantities. Now compare the quantities length and volume and determine whether the volume is a derived quantity.

Complete step by step answer:
All quantities that can be measured directly or indirectly and all quantities in terms of which laws of physics can be expressed are called physical quantities.
Fundamental quantities and derived quantities are the two types of physical quantities.
The quantities (physical) which are independent of any quantities are called Fundamental physical quantities. Examples: mass, length, electric current, temperature, amount of substance, and luminous intensity.
A derived quantity is one that can be derived from fundamental quantities. Area, speed, velocity, etc are examples of a derived physical quantity.
Measurement of physical quantity = (numerical value of the physical quantity) × (size of its unit)

These physical quantities are measured by these \[3\] systems that are the F.P.S. system (foot, pound, second) C.G.S (centimeter, gram, second), and M.K.S(meter, kilogram, second).
Volume is a three-dimensional space. It is the space that a substance occupies. Its SI unit is the cubic meter.
Length is used to measure distance. Its SI unit is a meter.
Volume is a three-dimensional space. Hence Volume is the product of length, breadth, and height. Hence volume is a derived physical quantity since volume is derived using length.

Hence option $\left( A \right)$ is correct.

Note: The units of a fundamental physical quantity are called fundamental quantity. The units of a derived physical quantity are called derived quantity. Fundamental quantities and derived quantities are the two types of physical quantities. Examples of fundamental quantity are mass, length, electric current, temperature, amount of substance, and luminous intensity. Area, speed, velocity, etc are examples of the derived physical quantity.