You have decided to start a new business that will include a pizza parlor, game room, indoor mini-golf, indoor batting cages, and an indoor golf driving-range cage.
This week you have decided to work on the design of the golf cage. You want the cage to be a rectangular prism open on one side. Netting will only need to cover four sides of the cage, because you won't need netting for the floor or the open side of the cage. In addition, you would like the cage to be wide enough for three people to practice their drives side by side. Lastly, you would like the height and width of the cage to be the same, and the volume of the cage to be 500 m3.
Based on these requirements, what are the dimensions of the cage that will require the minimum amount of netting? Please give answers to the nearest tenth of a meter.
Bonus: What are the exact dimensions of the cage?
This week you have decided to work on the design of the golf cage. You want the cage to be a rectangular prism open on one side. Netting will only need to cover four sides of the cage, because you won't need netting for the floor or the open side of the cage. In addition, you would like the cage to be wide enough for three people to practice their drives side by side. Lastly, you would like the height and width of the cage to be the same, and the volume of the cage to be 500 m3.
Based on these requirements, what are the dimensions of the cage that will require the minimum amount of netting? Please give answers to the nearest tenth of a meter.
Bonus: What are the exact dimensions of the cage?
