The picture below represents an unfolded box. How many sqaure inches of material is needed to cover this box?
490.5 in²
139.5 in²
2111.5 in²
72 in²
In order to determine the amount of square inches of material needed to cover the box, we need to calculate the surface area.
The unfolded box has 6 faces: 1 large rectangle, 2 small rectangles, and 3 squares.
The large rectangle has dimensions 7 in by 12 in, so its area is 7 * 12 = 84 in².
The two small rectangles have dimensions 4 in by 7 in, so their total area is 2 * (4 * 7) = 56 in².
The three squares have side lengths of 4 in, so their total area is 3 * (4 * 4) = 48 in².
Adding all of these areas together, we get the total surface area: 84 + 56 + 48 = 188 in².
Therefore, the correct answer is 188 in².