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
1,451.5 in.2
1 comma 451 point 5 in. squared
3,420 in.2
3 comma 420 in. squared
96 in.2
96 in. squared
725.75 in.2
To find the surface area of the suitcase, we need to calculate the area of each side of the suitcase and then add them together.
The surface area of the front and back sides (height x width) is:
22.5 inches x 16 inches = 360 square inches.
The surface area of the two side sides (height x length) is:
22.5 inches x 9.5 inches = 213.75 square inches.
The surface area of the top and bottom sides (width x length) is:
16 inches x 9.5 inches = 152 square inches.
To find the total surface area, we add the areas of all the sides together:
360 square inches (front and back) + 213.75 square inches (two sides) + 152 square inches (top and bottom) = 725.75 square inches.
Therefore, the surface area of the suitcase is 725.75 in.2.