You work at Dave's Donut Shop. The company has decided to redesign the box it uses to hold one dozen donuts. There are 12 donuts in one dozen. Each donut has a diameter of 3.5 and a height of 1.5 inches. The donuts in the original box stood on their side. You have been asked to design a new box that will allow the dozen donuts to lie flat as shown.
New Box: A rectangle with 3 rows of 4 across
The new box costs $0.20 per square foot of cardboard.
The square footage of the box is determined by the total surface area. There are 144 square inches in 1 square foot.
In this task, you will answer six questions to help you design a new donut box.
1.) What is the circumference, in inches, of a donut?
2.) There are 144 square inches in 1 foot. How many square inches are in 2.5 square feet?
3.) To make sure there is enough space for the donuts, Dave wants to add 1/2 inch to the minimum length, width, and height of the box.
Including the additional space, what should be the length, width, and height of the new box, in inches?
4.) Based on your response to question 3, what is the area of the bottom of the new box? How do the length and width of the new box meet Dave's requirements? Include all the necessary work to support your answer.
5.) Using the dimensions from question 3, what is the surface area, in surface area, in square inches, of your new box?
6.) It costs $15.00 for 25 of the original boxes. Dave wants the cost of the new box to be less than or equal to the cost of the original box. Does the new box cost less than the original box? Include all necessary work to support your answer.
PLS HELP, WOULD BE VERY MUCH APPRECIATED!!