Respuesta :
In this question there are three physical quantities which are named as rate of water flow ,speed and volume of a room.
we are asked to determine the derived unit of these physical quantities .
The volume of a room is given as-
volume = length ×breadth×height
⇒ V= l×b×h
Here l=length,b= breadth,h = height
In S.I system the unit of distance is metre[ m].
Hence the derived unit of volume is = metre×metre×metre
= cubic metre
[tex]= m^3[/tex]
The speed of a body is defined as the distance travelled by the body in unit time.
Mathematically speed is written as -
[tex]speed=\frac{distance}{time}[/tex]
In S.I unit ,the unit of time is second .Hence the derive unit of speed is -
[tex]=\frac{distance}{time}[/tex]
[tex]=\frac{metre}{second}[/tex]
[tex]=m/s[/tex]
The rate of water flow is defined as volume of water flown per unit time.
Mathematically it is written as -
[tex]V' =\frac{dV}{dt}[/tex] where V is the volume and V' is the rate of flow of water]
The derive unit of rate of flow of water is calculated as -
[tex]=\frac{metre^3}{second}[/tex]
[tex]=m^3/s[/tex]
