Question

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

3,420 in.2
3 comma 420 in. squared

1,451.5 in.2
1 comma 451 point 5 in. squared

96 in.2

1 answer

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

The front and back sides have dimensions 9.5 inches by 22.5 inches, so the area of each side is 9.5 inches * 22.5 inches = 213.75 square inches.

The top and bottom sides have dimensions 16 inches by 22.5 inches, so the area of each side is 16 inches * 22.5 inches = 360 square inches.

The left and right sides have dimensions 9.5 inches by 16 inches, so the area of each side is 9.5 inches * 16 inches = 152 square inches.

Adding up all six sides, we get:
213.75 square inches + 213.75 square inches + 360 square inches + 360 square inches + 152 square inches + 152 square inches = 1451.5 square inches.

So, the surface area of the suitcase is 1451.5 square inches.