The surface area of the rectangular prism can be found by adding up the areas of all six rectangles.
Area of the first rectangle = 54 square inches
Area of the second rectangle = 24 square inches
Area of the third rectangle = 36 square inches
Area of the fourth rectangle = 24 square inches
The areas of the top and bottom rectangles (which are the same) are:
2(54) = 108 square inches
The areas of the two side rectangles (which are the same) are:
2(36) + 2(24) = 72 + 48 = 120 square inches
Summing up all the areas:
108 (top and bottom) + 120 (sides) + 24 + 36 + 54 = 342 square inches
Therefore, the surface area of the rectangular prism is 342 square inches.
Use the image to answer the question.
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 bigger. The second and fourth are similar and smaller. The area of the second rectangle is labeled 24 square inches. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side. The area of the top rectangle is labeled as 54 square inches and the area of the third rectangle is labeled as 36 square inches.
What is the surface area of the rectangular prism?
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