Question

A coffee shop covers it coffee cups for holiday seasons. Their cups are cylindrical, have a 2 inch radius, and a height of 6 inches. They are only planning to cover the side of their cups, not the bottom or top. How many square inches of material do they need to cover the side of 1 cup?

Answer 1

Surface area of square box cover is 4x12=48
`in^(2)`

Explanation:

Given cylindrical cup have 2 in of radius and height of 6 in.

It is said that we need to cover the cup leaving top and bottom of cup.

To find how much material to cover:

After covering the cup, square box will be formed around the cup.

As shown in figure, Top view of square cup and box.

One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in

Therefore, Area of one face of square box is length x height = 2 x 6 =12
`in^(2)`

Since, Box having 4 faces

Surface area of square box cover = 4 x area of one face of box

= 4x12=48
`in^(2)`