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 3,420 in^2
b 1,451.5 in^2
c 96 in^2
d 725.75 in^2
To find the surface area of the suitcase, we need to calculate the area of each side and then add them up.
The area of the front and back sides (long sides) is 9.5 inches x 22.5 inches = 213.75 square inches each.
The area of the shorter sides (width) is 16 inches x 22.5 inches = 360 square inches each.
The area of the top and bottom sides (height) is 9.5 inches x 16 inches = 152 square inches each.
Now, add up all the areas:
Front and back sides: 213.75 in² + 213.75 in² = 427.5 in²
Shorter sides: 360 in² + 360 in² = 720 in²
Top and bottom sides: 152 in² + 152 in² = 304 in²
Finally, add up the areas:
427.5 in² + 720 in² + 304 in² = 1451.5 in²
Therefore, the surface area of the suitcase is 1451.5 in².
The correct answer is (b) 1451.5 in².