A box is 6 inch by 9 inch by 2 inch. How many square inches of wrapping paper would it take to gift wrap this box?
What is the surface area of this rectangular prism?
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To find out how many square inches of wrapping paper you would need to gift wrap the box, we need to calculate the surface area of the box.
The surface area of a rectangular box can be found by adding up the areas of all six sides. In this case, the box has three pairs of sides that are identical in size.
The surface area of the box is calculated as follows:
2 * (6 * 9) + 2 * (9 * 2) + 2 * (6 * 2)
Let's break it down:
- The first pair of sides is 6 inches by 9 inches, so the area is 6 * 9 = 54 square inches.
- The second pair of sides is 9 inches by 2 inches, so the area is 9 * 2 = 18 square inches.
- The third pair of sides is 6 inches by 2 inches, so the area is 6 * 2 = 12 square inches.
Now, we can add up the areas of all the sides to find the total surface area:
2 * 54 + 2 * 18 + 2 * 12 = 108 + 36 + 24 = 168 square inches.
Therefore, it would take 168 square inches of wrapping paper to gift wrap this box.