# Instantaneous rate of change - trapezoid

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A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at a rate of 0.2 m^3/min, how fast is the water level rising when the water is 30 cm deep?

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##### Solution Summary

This shows how to determine instantaneous rate of change for a trapezoidal water trough.

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At height h, we can find the widthness at top as follow. There are two triangles at each side of the trapezoid. You may take any of them and ...

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