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?
(1 point)
in.2
The total surface area of the rectangular prism is calculated by adding up the areas of all 6 rectangles.
The areas given are:
Area of the first rectangle = 54 square inches
Area of the second rectangle = 24 square inches
Area of the third rectangle = 36 square inches
Since the first and third rectangles are similar and bigger, we can assume they have the same dimensions. Let the dimensions of the first and third rectangles be l x w.
Therefore, the total surface area = 2lw + 2(24) + 2(36)
= 2lw + 48 + 72
= 2lw + 120 in.²
Without knowing the exact dimensions, we cannot calculate the exact surface area of the rectangular prism.