Question

Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10

km/h. How much area , in hectare, will it irrigate in 30 minutes, if 9 cm of

standing water is needed?​

Answer 1

Answer:

Canal is in the shape of cuboid , where,

Breadth =6 m

Height =1.5 m

Speed of canal =10 km/hr

Length of canal in 1 hour =10 km

Length of canal in 60 minutes =10 km

Length of canal in 1 minute =

60

1

×10 km

Length of canal in 30 minute =

60

30

×10=5km=5000 m

Now,

Volume of canal = length×breadth×height

= 5000×6×1.5 m

3

Now,

Volume of water in canal = Volume of area irrigated

Volume of water in canal = Area irrigated × Height

5000×6×1.5 = Area irrigated ×

100

8

Area irrigated =

8

5000×6×1.5×100

Area irrigated = 562500 m

2

Area irrigated =

10000

562500

hectares

Area irrigated = 56.25 hectares

solution