A carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high. What is the surface area of the suitcase?
O 3,420 in.^2
O 96 in.^2
O 1,451.5 in.^2
O 725.75 in.^2
The surface area of the suitcase can be calculated by first finding the area of each face and then summing them up.
The area of the front and back faces is (9.5 inches)(22.5 inches) = 213.75 in^2 each.
The area of the top and bottom faces is (16 inches)(22.5 inches) = 360 in^2 each.
The area of the left and right faces is (9.5 inches)(16 inches) = 152 in^2 each.
Therefore, summing up the areas of all faces gives us a total surface area of (213.75 in^2 + 213.75 in^2 + 360 in^2 + 360 in^2 + 152 in^2 + 152 in^2) = 1,451.5 in^2.
The surface area of the suitcase is 1,451.5 in^2. Therefore, the correct answer is option O 1,451.5 in^2.