Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.