Through an iron pipe whose cross-section is a rectangle of length $8 c m$ and breadth $5 c m$ , water flows uniformly at the rate $20 c m$ per second. How long (minutes) will it take to discharge $96$ litre ?

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Solution

Given : Height $(h) = 20 c m$ . length os rectangle $(l) = 8 c m$ breadth $(b) = 5 c m$
Area of rectangle $= l e n g t h \times b r e a d t h = 8 \times 5 = 40 c m^{2}$
Volume of prism $(V) = B a s e a r e a \times h e i g h t$
$= 40 \times 20 = 800 c . c$
Clearly, the volume of water discharged by the pipe per second $=$ the volume of the prism
$∴$ The required time to discharge $96$ litres of water
$= \frac{96 l i t r e s}{800 c . c} = \frac{96 \times 1000 c . c}{800 c . c} = 120$ seconds
$= 2$ minutes.
Hence, the answer is $2$ .

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Through an iron pipe whose cross-section is a rectangle of length 8 cm and breadth 5 cm, water flows uniformly at the rate 20 cm per second. How long (minutes) will it take to discharge 96 litre ?

Through an iron pipe whose cross-section is a rectangle of length $8 c m$ and breadth $5 c m$ , water flows uniformly at the rate $20 c m$ per second. How long (minutes) will it take to discharge $96$ litre ?