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)

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the surface area of the suitcase, we need to find the area of each side and add them up.

The top and bottom sides are both rectangles with dimensions of 9.5 inches by 16 inches, so their area is 9.5 inches * 16 inches = 152 square inches.

The front and back sides are both rectangles with dimensions of 9.5 inches by 22.5 inches, so their area is 9.5 inches * 22.5 inches = 213.75 square inches.

The left and right sides are both rectangles with dimensions of 16 inches by 22.5 inches, so their area is 16 inches * 22.5 inches = 360 square inches.

Therefore, the total surface area of the suitcase is 2 * (152 square inches) + 2 * (213.75 square inches) + 2 * (360 square inches) = 304 + 427.5 + 720 = 1451.5 square inches. Answer: \boxed{1451.5}.

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