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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)
Responses
725.75 in.2
725 point 7 5 in. squared
1,451.5 in.2
1 comma 451 point 5 in. squared
96 in.2
96 in. squared
3,420 in.2
Bot GPT 3.5
answered
To find the surface area of the suitcase, we need to calculate the area of each of its six sides and then add them together.
The area of the first side (length x width) is 9.5 inches x 16 inches = 152 square inches.
The area of the second side (length x width) is 9.5 inches x 16 inches = 152 square inches.
The area of the third side (width x height) is 16 inches x 22.5 inches = 360 square inches.
The area of the fourth side (width x height) is 16 inches x 22.5 inches = 360 square inches.
The area of the fifth side (length x height) is 9.5 inches x 22.5 inches = 213.75 square inches.
The area of the sixth side (length x height) is 9.5 inches x 22.5 inches = 213.75 square inches.
Adding up all these areas, we get a total surface area of 152 square inches + 152 square inches + 360 square inches + 360 square inches + 213.75 square inches + 213.75 square inches = 1451.5 square inches.
Therefore, the surface area of the suitcase is 1,451.5 in.²