February 9th, 2009, 03:53 PM  #1 
Senior Member Joined: Nov 2008 Posts: 265 Thanks: 0  related rates
the cross section of a 5 meter trough is an isosceles trapezoid with a 2 meter lower base, a 3 meter upper base, and an altitude of 2 meters. Water is running into the trough at a rate of 1 cubic meter per minute. how fast is the water level rising when the water is 1 meter deep. i need help doing this problem thank you for any help. 
February 9th, 2009, 04:33 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,247 Thanks: 1439 
Let h denote the depth. What is the area of the exposed water surface in terms of h?

February 9th, 2009, 05:57 PM  #3 
Senior Member Joined: Nov 2008 Posts: 265 Thanks: 0  Re: related rates
im sorry but i still dont understand' would the area be A=1/2(1st base + 2nd base)h 
February 12th, 2009, 06:52 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,247 Thanks: 1439 
What did you not understand? What happens to the area of the exposed water surface as h increases from zero meters to two meters?


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