Question

water in a canal , 6m wide and 1.5m deep , flowing with a speed of 10km/h . How much area will it irrigate in 30 minutes , if 8 cm of standing water is needed.​

Answer 1

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 × $10^{(3)}$ meter

Hence the volume of the water irrigated per 30 minutes = 6 × 1.5 × 5 × $10^{(3)}$

= 45 × $10^{(3)}$   cubic meter

The standing water is 8 centimeter = 8 × $10^{(-2)}$  meter

Hence the area covered in 30 min = Volume ÷ the height of the standing water

= (45 × $10^{(3)}$ )  ÷ 8 × $10^{(-2)}$   meter

= 562500 square meter

Step 3 :

The area covered by the canal in 30 mins is 562500 square meter