a carry-on suitcase is 10.5 inches long 15 inchess wide and 24 inches high what is the surface area of the suitcase responses 796.5in 1,539in 49.5in 3,780in

1 answer

To find the surface area of the suitcase, we need to calculate the area of each side and then add them all together.

The front and back sides each have dimensions of 10.5 inches by 24 inches, so the area of each side is 10.5 inches * 24 inches = 252 square inches. Since we have two of these sides, the total area for the front and back is 252 square inches * 2 = 504 square inches.

The top and bottom sides each have dimensions of 15 inches by 24 inches, so the area of each side is 15 inches * 24 inches = 360 square inches. Since we have two of these sides as well, the total area for the top and bottom is 360 square inches * 2 = 720 square inches.

The left and right sides each have dimensions of 10.5 inches by 15 inches, so the area of each side is 10.5 inches * 15 inches = 157.5 square inches. Again, since we have two of these sides, the total area for the left and right sides is 157.5 square inches * 2 = 315 square inches.

To find the total surface area, we add up the areas of all the sides: 504 square inches + 720 square inches + 315 square inches = 1539 square inches.

Therefore, the correct response is 1,539inĀ².