1. Consider a rectangular box with length, . The width is 3 more than the length, and the height is twice the length. Find an equation for the volume, (), as a function of the length, . 2. Suppose you want to create a rectangular box with a volume of 100 cubic inches. The width, , needs to be twice the length, . a. Find an equation for the length, , in terms of . b. Using the given volume and your equation for , find an equation for the height, , in terms of . 3. A storage bin with dimensions 2 feet by 3 feet by 4 feet needs to be increased in size to hold 5 t imes as much food as the current bin. Assume each dimension is increased by the same amount. a. Draw a sketch of the box. b. What is the current volume of the bin? c. Write a function that represents the volume, , of the new bin. d. Use Desmos to graph the volume and determine the dimensions of the new bin. (Hint: Set your function equal to the new volume and solve for the variable.)