Question

$\huge \bf Question$

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

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Answer 1

Answer:

Step-by-step explanation:Here, Area of river = depth × width

=3×40=120m  

2

 

amount of water that falls into the sea ⇒ area of river × flow rate  

⇒120m  

2

×2  

hr

km

​  

 

⇒120×  

(60)min

2×1000m  

3

 

​  

 

⇒4000  

min

m  

3

 

​  

 

∴4000m  

3

 of water falls into the sea permin.

Answer 2

Understanding Question:-

• it is given that there is a river [whose depth (height) = 3m and breadth = 40m ] which is flowing at a rate of 2 km /hr.
• We are asked to find the amount of water which will fall into the sea. In simple terms, we have to find the volume of this river (which is cuboidal).

Concept:-

• we are already provided with breadth and height. But, we have to find its length.
• it is mentioned that it is flowing at a rate of 2km/hr. which means that it is flowing along the the length. So:-

$\longrightarrow$ water flowing in 1 hour = 2km

$\longrightarrow$ water flowing in 1 hour = 2000m

$\longrightarrow$ water flowing in 60 min = 2000m

$\longrightarrow$ water flowing in 1 Min = $\sf\dfrac{2000}{60} = \dfrac{100}{3} m$

Formula:-

$\underline\pink{\boxed{\bf Volume= length × breadth×height}}$

Solution:-

:$\implies$ $\sf Volume = \dfrac{100}{3}×40×3$

:$\implies$ $\sf Volume = 4000m³$

hence, the amount of water that will fall into sea is 4000m³