SOLUTION: A rectangular tank 15 metre long, 27 metre deep. If 450 cubic metre water drawn from it, the level of the tank decreases by 3 metre. Find the capacity of the tank and also its brea

Algebra ->  Volume -> SOLUTION: A rectangular tank 15 metre long, 27 metre deep. If 450 cubic metre water drawn from it, the level of the tank decreases by 3 metre. Find the capacity of the tank and also its brea      Log On


   



Question 1063055: A rectangular tank 15 metre long, 27 metre deep. If 450 cubic metre water drawn from it, the level of the tank decreases by 3 metre. Find the capacity of the tank and also its breadth.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = the width of the tank
+15%2A27%2Aw+=+405w+ m3 is the capacity of the tank
+405w+-+450+=+15%2A%28+27+-+3+%29%2Aw+
+405w+-+450+=+15%2A24%2Aw+
+405w+-+450+=+360w+
+45w+=+450+
+w+=+10+
+405w+=+4050+
The breadth is 10 m
The capacity is 4050 m3
-------------------------
check answer:
The amount left after drawing off +450+ m3 is:
+4050+-+450+=+3600+
and
+15%2A24%2Aw+=+15%2A24%2A10+
+15%2A24%2A10+=+3600+
OK