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)
O 725.75 in.?
O 3,420 in.?
O 96 in.?
© 1,451.5 in.?
To find the surface area of the suitcase, we need to calculate the area of each side and then sum them up.
The suitcase has 6 sides:
1. One side with a length of 9.5 inches and a width of 22.5 inches, so the area is 9.5 * 22.5 = 213.75 square inches.
2. One side with a length of 9.5 inches and a width of 16 inches, so the area is 9.5 * 16 = 152 square inches.
3. One side with a length of 16 inches and a width of 22.5 inches, so the area is 16 * 22.5 = 360 square inches.
4. One side with a length of 9.5 inches and a width of 16 inches, so the area is 9.5 * 16 = 152 square inches.
5. One side with a length of 16 inches and a width of 22.5 inches, so the area is 16 * 22.5 = 360 square inches.
6. One side with a length of 9.5 inches and a width of 22.5 inches, so the area is 9.5 * 22.5 = 213.75 square inches.
The sum of all the side areas is 213.75 + 152 + 360 + 152 + 360 + 213.75 = 1451.5 square inches.
Therefore, the surface area of the suitcase is 1,451.5 in^2.
To calculate the surface area of the suitcase, we need to find the area of each side and then add them together.
The area of the first side:
Length x Width = 9.5 inches x 16 inches = 152 square inches
The area of the second side:
Length x Width = 9.5 inches x 16 inches = 152 square inches
The area of the third side:
Length x Width = 9.5 inches x 22.5 inches = 213.75 square inches
The area of the fourth side:
Length x Width = 9.5 inches x 22.5 inches = 213.75 square inches
The area of the fifth side:
Length x Width = 16 inches x 22.5 inches = 360 square inches
Now, add up the areas of all sides:
152 square inches + 152 square inches + 213.75 square inches + 213.75 square inches + 360 square inches = 1,091.5 square inches.
Thus, the surface area of the suitcase is 1,091.5 square inches.
The correct answer is 1,091.5 in².