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

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

725.75 in.2
725 point 7 5 in. squared

96 in.2
96 in. squared

1,451.5 in.2

Answer 1

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

The area of the first side (length x width) is 9.5 inches x 16 inches = 152 square inches.
The area of the second side (length x width) is also 9.5 inches x 16 inches = 152 square inches.
The area of the third side (width x height) is 16 inches x 22.5 inches = 360 square inches.
The area of the fourth side (width x height) is also 16 inches x 22.5 inches = 360 square inches.
The area of the fifth side (length x height) is 9.5 inches x 22.5 inches = 213.75 square inches.
The area of the sixth side (length x height) is also 9.5 inches x 22.5 inches = 213.75 square inches.

Adding up all these areas: 152 square inches + 152 square inches + 360 square inches + 360 square inches + 213.75 square inches + 213.75 square inches = 1452.5 square inches.

So, the surface area of the carry-on suitcase is 1,452.5 in.2.