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?
a.725.75 in.^2
b. 96 in.^2
c. 3,420 in.^2
d.1,451.5 in.^2
To find the surface area of the suitcase, we need to find the area of each side and then sum them all up.
The area of the front and back (long sides) is 9.5 inches long and 22.5 inches high, so their combined area is 2 * 9.5 * 22.5 = 427.5 square inches.
The area of the top and bottom (wide sides) is 16 inches wide and 22.5 inches high, so their combined area is 2 * 16 * 22.5 = 720 square inches.
The area of the left and right sides (narrow sides) is 9.5 inches long and 16 inches wide, so their combined area is 2 * 9.5 * 16 = 304 square inches.
Adding up the surface areas of all sides, we get 427.5 + 720 + 304 = 1,451.5 square inches.
Therefore, the surface area of the suitcase is 1,451.5 in.^2.
The correct answer is d. 1,451.5 in.^2.