Question

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 inches 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
3
DELANEY
1⁄2
To make sure there is enough space for the donuts, Dave wants to add
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?
Enter each answer in a separate response box.
1
2
X
I
II
3

Answer 1

I. Length: 43 inches

II. Width: 15 inches

III. Height: 5.5 inches

Explanation:

To determine the dimensions of the new box, we need to calculate the space required for a dozen donuts lying flat, including the additional space of one inch.

Since the diameter of each donut is 3.5 inches, the width of the box must be greater than or equal to 3.5 x 4 = 14 inches to accommodate four donuts placed side by side.

Similarly, since the height of each donut is 1.5 inches, the height of the box must be greater than or equal to 1.5 x 3 = 4.5 inches to accommodate three donuts stacked on top of each other.

Finally, since the length of each donut is 3.5 inches, the length of the box must be greater than or equal to 3.5 x 12 = 42 inches to accommodate a dozen donuts lying flat.

Adding one inch to each dimension gives us a final box size of:

Length = 42 + 1 = 43 inches

Width = 14 + 1 = 15 inches

Height = 4.5 + 1 = 5.5 inches

Therefore, the dimensions of the new box should be:

I. Length: 43 inches

II. Width: 15 inches

III. Height: 5.5 inches