Use the figure to answer questions 1-2. Assume that the 3 * 5.5 m rectangles on the right and left are the bases Multiple What is the surface area of the prism? ( 1 point) 5.5 m 283.8m ^ 2 3 m 292.4m ^ 2 17.2 m 325.4m ^ 2; 407m ^ 2
To find the surface area of the prism, we need to find the area of each individual rectangle and then add them all together.
Area of base (each rectangle): 3m * 5.5m = 16.5m^2
There are two bases, so the total area of the bases = 2 * 16.5m^2 = 33m^2
Area of the lateral sides (the four rectangles around the prism):
2 * 5.5m * h + 2 * 3m * h = 75m^2
(where h is the height of the prism)
Adding the bases and lateral sides together gives us the total surface area of the prism:
33m^2 + 75m^2 = 108m^2
Therefore, the surface area of the prism is 108m^2.
So, the correct answer is:
292.4m^2