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? (1 point)

1 answer

The surface area of the suitcase can be found by calculating the area of each side and then adding them up.

The top and bottom sides each have dimensions of 9.5 inches long and 16 inches wide, so their area is 9.5 * 16 = 152 square inches. Since there are two of them (top and bottom), the total area of these sides is 2 * 152 = 304 square inches.

The front and back sides each have dimensions of 9.5 inches long and 22.5 inches high, so their area is 9.5 * 22.5 = 213.75 square inches. Since there are two of them (front and back), the total area of these sides is 2 * 213.75 = 427.5 square inches.

The left and right sides each have dimensions of 16 inches wide and 22.5 inches high, so their area is 16 * 22.5 = 360 square inches. Since there are two of them (left and right), the total area of these sides is 2 * 360 = 720 square inches.

To find the total surface area, we simply add up all the areas: 304 + 427.5 + 720 = 1451.5 square inches.

Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.