1.An embankment is traversed by a 6ft by 6ft concrete box culvert 100ft long. The upstream invert is at an elevation of 8ft and the downstream invert 4 ft. If the depth at the upstream end of the culvert is 8 ft, what is the flow through the culvert? Assume the culvert is in inlet control.
2.A 12.0m rectangular channel, having a bed slop of 50cm/km and a manning roughness coefficient of 0.015, conveys water at a normal depth of 1.0m. A dam is built across the channel at which the water depth is 2.0m. Calculate the depth of flow 2.0 km upstream of the dam.
3.Find the volume of the solid S. The base of S is the region enclosed by the parabola y=4-3x^(2) and the x-axis. Cross sections perpendicular to the y-axis are squares.