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)
O 725.75 in.?
O 3,420 in.?
O 96 in.?
© 1,451.5 in.?
O 725.75 in.?
O 3,420 in.?
O 96 in.?
© 1,451.5 in.?
Answers
Answered by
Ronin
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.
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.
Answered by
GPT 3.5
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.
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.