Water in a canal, 30dm wide and 12dm deep, is flowing with a velocity

1.	Water in a canal, 30dm wide and 12dm deep, is flowing with a velocity of 20km per hour. How much area will it irrigate, if 9cm of standing water is desired?
Answer» We know that water in a canal forms a cuboid The dimensions are Breadth = 30dm = 3m Height = 12dm = 1.2m We know that Length = distance covered by water in 3 minutes = velocity of water in m/hr × time in hours By substituting the values Length = 20000 × (30/60) So we get Length = 10000m We know that Volume of water flown in 30 minutes = l × b × h By substituting the values Volume of water flown in 30 minutes = 10000 × 3 × 1.2 = 36000 m³ Consider A m² as the area irrigated So we get A × (9/100) = 36000 On further calculation A = 400000 m² Therefore, the area to be irrigated is 400000 m².

Water in a canal, 30dm wide and 12dm deep, is flowing with a velocity of 20km per hour. How much area will it irrigate, if 9cm of standing water is desired?

Answer»

We know that water in a canal forms a cuboid

The dimensions are

Breadth = 30dm = 3m

Height = 12dm = 1.2m

We know that

Length = distance covered by water in 3 minutes = velocity of water in m/hr × time in hours

By substituting the values

Length = 20000 × (30/60)

So we get

Length = 10000m

We know that

Volume of water flown in 30 minutes = l × b × h

By substituting the values

Volume of water flown in 30 minutes = 10000 × 3 × 1.2 = 36000 m³

Consider A m² as the area irrigated

So we get

A × (9/100) = 36000

On further calculation

A = 400000 m²

Therefore, the area to be irrigated is 400000 m².