A Gate in an Irrigation Canal Is in the Form

Multiple Choice

A gate in an irrigation canal is in the form of a trapezoid 3 feet wide at the bottom, 5 feet wide at the top, with height equal to 2 feet. It is placed vertically in the canal with the water extending to its top. For simplicity, take the density of water to be 60 lb/ft³. Find the hydrostatic force in pounds on the gate.

A) 360
B) 380
C) 440
D) 420
E) 400
F) 460
G) 500
H) 480