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

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

725.75 in.2
725 point 7 5 in. squared

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

96 in.2

Answer 1

To find the surface area of the suitcase, we can calculate the area of each side of the suitcase and add them together.

The first side has dimensions 9.5 inches by 16 inches, so its area is 9.5 inches * 16 inches = 152 square inches.

The second side has dimensions 9.5 inches by 22.5 inches, so its area is 9.5 inches * 22.5 inches = 213.75 square inches.

The third side has dimensions 16 inches by 22.5 inches, so its area is 16 inches * 22.5 inches = 360 square inches.

The fourth side is the same as the first side, so its area is also 152 square inches.

The fifth side is the same as the second side, so its area is also 213.75 square inches.

The sixth side is the same as the third side, so its area is also 360 square inches.

Adding up all the areas, we get 152 + 213.75 + 360 + 152 + 213.75 + 360 = 1451.5 square inches.

So, the surface area of the suitcase is 1,451.5 in².