The image below shows the net being used for a new box design. The net will...

 

Transcribed Image Text:

The image below shows the "net" being used for a new box design. The net will be cut from a piece of cardboard 60cm x 24cm (dotted lines show the cardboard) and the dark sections will overlap with other sides for a secure seal (the longer side is obvious in the diagram). NOTE: for this design to work, the upper left corner cutout must be square. a. Determine the equation of a function to represent the volume of the box. b. Sketch the function. c. Estimate the dimensions of the box that will maximize the volume. d. Determine the dimensions of the box if we want the volume to be 900 cm. square The image below shows the "net" being used for a new box design. The net will be cut from a piece of cardboard 60cm x 24cm (dotted lines show the cardboard) and the dark sections will overlap with other sides for a secure seal (the longer side is obvious in the diagram). NOTE: for this design to work, the upper left corner cutout must be square. a. Determine the equation of a function to represent the volume of the box. b. Sketch the function. c. Estimate the dimensions of the box that will maximize the volume. d. Determine the dimensions of the box if we want the volume to be 900 cm. square