Carry-on suitcase is 9.5 inches long 16 inches wide and 22.5 inches high. What is the surface area of the suitcase?
To find the surface area of the suitcase, we need to calculate the area of each side and then sum them up.
The suitcase has 6 sides: 2 sides that measure 9.5 inches by 22.5 inches, 2 sides that measure 16 inches by 22.5 inches, and 2 sides that measure 9.5 inches by 16 inches.
Area of the first side = length * height
= 9.5 inches * 22.5 inches
= 213.75 square inches
Area of the second side = length * height
= 9.5 inches * 22.5 inches
= 213.75 square inches
Area of the third side = length * width
= 16 inches * 22.5 inches
= 360 square inches
Area of the fourth side = length * width
= 16 inches * 22.5 inches
= 360 square inches
Area of the fifth side = length * width
= 9.5 inches * 16 inches
= 152 square inches
Area of the sixth side = length * width
= 9.5 inches * 16 inches
= 152 square inches
Adding up all the side areas:
213.75 + 213.75 + 360 + 360 + 152 + 152 = 1451.5
Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.