Question

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea ina minute?

Answer 1

4000 $m^{3}$ amount of water will fall into the sea in a minute.

Step-by-step explanation:

• Given data

         Depth of river (H) = 3 m

         Width of river (B) = 40 m

         Speed of water $\mathbf{(V)=2 \ \frac{km}{h}=2\times \frac{1000}{60} \ \frac{m}{min}}$

         Means length cover by river in one minute $\mathbf{(L)=2\times \frac{1000}{60} \ (m)}$

• We know volume of cuboid

         Volume = Length× Breadth×Height

• On putting respective value in above equation of volume

         Volume of water $\mathbf{=2\times \frac{1000}{60}\times 40\times 3}$

• Volume of water $\mathbf{=4000 (m)^{3}}$ = This is amount of water will fall into the sea in a minute.

Answer 2

Given: A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour

If l metre is the length of the river, then water in the river forms the cuboid of width 40 m and height 3 metres.

Depth of river (h) = 3 m

Width of river (b) = 40 m

Rate of flow of water (l) = 2 km = 2000 m

[1 km= 1000 m]

Since,The water flows at the rate of 2 km/h, i.e the water of length 2 km flows into the sea in one hour. :

Volume of water flowing into the sea in one hour ,V = l × b × h

V = (2000 × 40 × 3)

V = 240000 m³

So, Volume of water flowing into the sea in one minute = 240000/60 = 4000 m³ = 4000000 litres.

[1 hour = 60 min and 1m³ = 1000 litres]

Hence, Volume of water flowing into the sea in one minute is 4000000 litres.

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