A gift box measures 6 in. along each edge You cut a rectangular sheet of wrapping paper to get a single piece with which you can cover the box without overlapping. What are the smallest possible dimensions of the original sheet of wrapping paper?

a. 24 in. by 18 in.

b. 20 in. by 14 in.

c. 18 in. by 20 in.

d. 12 in. by 14 in.

please

I thought Steve just showed you how to find the correct answer.

http://www.jiskha.com/display.cgi?id=1389975375

Hmmm. I get 18x24, since you need 24" to go all the way around the box.

Then you cut out the corners so you get a T-shaped sheet of paper. The 18" cross-piece will wrap around the base and two of the sides.

To find the smallest possible dimensions of the original sheet of wrapping paper, we need to determine the dimensions of the paper that can cover the gift box without any overlapping.

The gift box measures 6 inches along each edge. To cover it, we need to consider the dimensions of a single piece of wrapping paper that can fully enclose it.

To calculate the dimensions of the wrapping paper, we need to find the measurements of the unfolded box. The box has three pairs of sides, each measuring 6 inches. When we unfold the box, we can arrange the sides to form a rectangle.

So, the length of the unfolded box is 6 inches, and the width is 6 inches.

To cover the box without overlapping, we need a piece of wrapping paper that is at least as large as the dimensions of the unfolded box. Therefore, the smallest possible dimensions of the original sheet of wrapping paper are 6 inches by 6 inches.

However, none of the answer choices provided have these dimensions. Let's determine which answer choice is the closest to the dimensions of the unfolded box, which is 6 inches by 6 inches.

a. 24 in. by 18 in.
b. 20 in. by 14 in.
c. 18 in. by 20 in.
d. 12 in. by 14 in.

Out of the given answer choices, option c. 18 in. by 20 in. is the closest to the dimensions of the unfolded box (6 inches by 6 inches). Therefore, the correct answer is c. 18 in. by 20 in.