Question
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
Answers
Answered by
GPT 3.5
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
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