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???
The surface area of a rectangular box can be found by adding up the areas of all its sides.
The suitcase has six sides: there are two sides with dimensions 9.5 inches by 22.5 inches, two sides with dimensions 9.5 inches by 16 inches, and two sides with dimensions 16 inches by 22.5 inches.
The area of the first two sides is 9.5 inches * 22.5 inches = 213.75 square inches each.
The area of the second two sides is 9.5 inches * 16 inches = 152 square inches each.
The area of the third two sides is 16 inches * 22.5 inches = 360 square inches each.
Adding up the areas of all six sides, the total surface area of the suitcase is 213.75 square inches + 213.75 square inches + 152 square inches + 152 square inches + 360 square inches + 360 square inches = 1451.5 square inches.
Therefore, the surface area of the suitcase is 1451.5 square inches.