A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12ft³/min, how fast is the water level rising when the water is 6 inches deep?

Question

anonymous · Answer

can someone show me all the steps in working this problem out

anonymous · Answer

Also can you draw the figure

anonymous · Answer

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anonymous · Answer

could you please label it so I can understand better

anonymous · Answer

that is the triangle that is 3 feet across and one foot high

anonymous · Answer

ok

anonymous · Answer

it has area 
$$\frac{3\times 1}{2}=1.5$$ so the volume of the whole trough is 15

anonymous · Answer

the hard part is figuring out what the volume of water is when the height is x rather than 1.  because that is what you are asked about

anonymous · Answer

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