A trough is 12 feet long and 3 feet across the top. Its end are isolates triangles with altitudes of 3 feet. If water is being pumped into the trough at 2 cubic feet per min, how fast is the water level rising when the water is 1 foot deep?

Question

geerky42 · Answer

Is this what question means?|dw:1352122545575:dw|

geerky42 · Answer

anybody helps me, please.

anonymous · Answer

Seems like thats the question, yes.
And to calculate it you got  2 cubic feet per min.
So you have calculate total cubic feet. And find out how many cubic meters at under water at 1 feet hight, then you know how much you have left, and can calculate speed from there on.

geerky42 · Answer

V = 1/2 blh where b represnts base, h is height, and l is length so the volume of this shape is 54 ft³, right?

NOw I have to derivative volume and heigh, right?

geerky42 · Answer

while rising, height and base changes so three unknown variables... right?

anonymous · Answer

54ft³ is correct. on the rest Length stays the same, height is given (1). base is unknown.
But the triangles and the same proportions, just calculate them to get the new base.