You have to wrap gift boxes for your club project. Each box is 4.5 inches wide, 7 inch long, and 4 inches tall. What size sheet of wrapping paper do you need to cut to cover the
box?
Gift wrap paper comes in sheets which are 30 inches wide and 36 inches long. How should you cut your sheet to make the best use of the paper?
I really need help
To determine the size of the sheet of wrapping paper you need to cut, you must calculate the total surface area of the gift box. The total surface area is the sum of the areas of all six sides of the box.
The gift box has dimensions of 4.5 inches in width, 7 inches in length, and 4 inches in height. To find the area of each side, you multiply the length by the width. There are four sides with dimensions 4.5 inches by 7 inches, resulting in an area of 31.5 square inches for each of these sides. The remaining two sides have dimensions 4.5 inches by 4 inches, resulting in an area of 18 square inches each.
To calculate the total surface area, add up the areas of all six sides:
4 sides of 31.5 square inches = 126 square inches
2 sides of 18 square inches = 36 square inches
Total surface area = 126 + 36 = 162 square inches.
Now, to determine the dimensions of the wrapping paper sheet, consider that the sheet is 30 inches wide and 36 inches long. Since the box does not have a regular shape, it is ideal to choose the dimensions of the sheet that can cover the total surface area of the box without any leftover paper.
Begin by evaluating the width of the sheet, which is 30 inches. Since the total surface area of the box is 162 square inches, divide it by the width of the sheet:
162 square inches / 30 inches = 5.4 inches.
This means that the width of the sheet is large enough to cover the box entirely, with 5.4 inches left over.
Next, consider the length of the sheet, which is 36 inches. Again, divide the total surface area of the box by the length of the sheet:
162 square inches / 36 inches = 4.5 inches.
This means that the length of the sheet is also large enough to cover the box entirely, with 4.5 inches left over.
Therefore, to make the best use of the paper, you should cut your sheet of wrapping paper to have dimensions of 30 inches wide and 36 inches long. This way, you will have enough paper to cover the box entirely without any leftover scraps.