To find the surface area of the suitcase, we need to calculate the area of all six sides.
First, we calculate the area of the top and bottom sides:
Top and bottom side area = length x width = 9.5 inches x 16 inches = 152 square inches
Next, we calculate the area of the two longer sides:
Long side area = length x height = 9.5 inches x 22.5 inches = 213.75 square inches
Now, we calculate the area of the two shorter sides:
Short side area = width x height = 16 inches x 22.5 inches = 360 square inches
Finally, we add up all the areas to find the total surface area:
Total surface area = 2(top and bottom sides) + 2(long sides) + 2(short sides)
Total surface area = 2(152) + 2(213.75) + 2(360)
Total surface area = 304 + 427.5 + 720
Total surface area = 1451.5 square inches
Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.
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?
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