The area covered by the canal in 30 mins is 562500 sq m
Step-by-step explanation:
Step 1 :
Given,
The canal's width = 6 meter
The canal's Depth is given as 1.5 meter
Speed of the water flowing = 10 kilometer per hour
We need to determine the area which will be irrigated in 30 mins
Step 2 :
In one hour the canal flows 10 kilometer , therefore in 30 minutes it covers 5 kilometer = 5 × [tex]10^{(3)}[/tex] meter
Hence the volume of the water irrigated per 30 minutes = 6 × 1.5 × 5 × [tex]10^{(3)}[/tex]
= 45 × [tex]10^{(3)}[/tex] cubic meter
The standing water is 8 centimeter = 8 × [tex]10^{(-2)}[/tex] meter
Hence the area covered in 30 min = Volume ÷ the height of the standing water
= (45 × [tex]10^{(3)}[/tex] ) ÷ 8 × [tex]10^{(-2)}[/tex] meter
= 562500 square meter
Step 3 :
The area covered by the canal in 30 mins is 562500 square meter
