A rectangular bin is going to be made with a volume of 492 in. The base of the bin will be a square and the top will be open. The cost of the material for the base is 0.8 cents per square inch, and the cost of the material for the sides is 0.6 cents per square inch. Determine the dimensions of the bin that will minimize the cost of manufacturing it. What is the minimum cost? Round any calculations and the final answer to the nearest hundredth if necessary. Provide your answer below: