Surface Area of Rectangular Prisms Practice
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Question
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An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and smaller. The second and fourth are similar and bigger. The first rectangle is labeled 3 meters on the left side vertically and 1.5 meters on the top horizontally. The second rectangle is labeled as 4 meters on the bottom. The fourth rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?(1 point)
To find the surface area of the rectangular prism, we need to calculate the area of each individual rectangle and then add them together.
Rectangle 1:
Length = 3m
Width = 1.5m
Area = Length x Width = 3m x 1.5m = 4.5m^2
Rectangle 2:
Length = 4m
Width = 1.5m
Area = Length x Width = 4m x 1.5m = 6m^2
Rectangle 3:
Length = 3m
Width = 1.5m
Area = Length x Width = 3m x 1.5m = 4.5m^2
Rectangle 4:
Length = 4m
Width = 1.5m
Area = Length x Width = 4m x 1.5m = 6m^2
Rectangle 5:
Length = 4m
Width = 3m
Area = Length x Width = 4m x 3m = 12m^2
Rectangle 6:
Length = 4m
Width = 3m
Area = Length x Width = 4m x 3m = 12m^2
Now, add all the areas together:
4.5m^2 + 6m^2 + 4.5m^2 + 6m^2 + 12m^2 + 12m^2 = 45m^2
Therefore, the surface area of the rectangular prism is 45 square meters.