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

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

96 in.2
96 in. squared

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

725.75 in.2

1 answer

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

The area of the front and back sides (which are both 9.5 inches long and 22.5 inches high) would be 9.5 * 22.5 = 213.75 in².

The area of the top and bottom sides (which are both 16 inches wide and 22.5 inches high) would be 16 * 22.5 = 360 in².

The area of the left and right sides (which are both 9.5 inches long and 16 inches wide) would be 9.5 * 16 = 152 in².

Adding all the areas together:

213.75 in² (front/back) + 213.75 in² (front/back) + 360 in² (top/bottom) + 360 in² (top/bottom) + 152 in² (left/right) + 152 in² (left/right) = 1451.5 in²

Therefore, the surface area of the suitcase is 1,451.5 in.².
The correct answer is: 1,451.5 in.²