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

96 in.2
96 in. squared

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

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

725.75 in.2

Answer 1

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

The sides of the suitcase are:

1. Front and back: 9.5 inches long, 22.5 inches high, so the area is 9.5 * 22.5 = 213.75 in.2
2. Top and bottom: 16 inches wide, 22.5 inches high, so the area is 16 * 22.5 = 360 in.2
3. Left and right: 9.5 inches long, 16 inches wide, so the area is 9.5 * 16 = 152 in.2

Now, let's add the areas together:

Front and back: 213.75 in.2
Top and bottom: 360 in.2
Left and right: 152 in.2

Total surface area = 213.75 + 360 + 152 = 725.75 in.2

Therefore, the surface area of the carry-on suitcase is 725.75 in.2.