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. 725.75 in^2
2. 2,420 in^2
3. 1,451.5 in^2
4. 96 in^2
The surface area of a rectangular prism can be calculated by adding up the area of all six faces.
The formula to find the surface area of a rectanglar prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 9.5 inches
Width (w) = 16 inches
Height (h) = 22.5 inches
Calculating the surface area using the formula:
Surface Area = 2(9.5)(16) + 2(9.5)(22.5) + 2(16)(22.5)
Surface Area = 304 + 427.5 + 720
Surface Area = 1451.5 in^2
Therefore, the surface area of the suitcase is 1451.5 in^2.
The correct option is 3. 1,451.5 in^2.