To find the surface area of the rectangular prism, you need to find the area of each rectangle and then add them all up.
The area of the second rectangle is given as 24 square inches.
The area of the top rectangle is given as 54 square inches.
The area of the third rectangle is given as 36 square inches.
Since the first and third rectangles are similar and bigger, you can assume that they have the same area. Therefore, the area of the first and third rectangles combined would be 36 + 36 = 72 square inches.
Since the second and fourth rectangles are also similar, you can assume they have the same area. Therefore, the area of the second and fourth rectangles combined would be 24 + 24 = 48 square inches.
Now, add up the areas of all six rectangles to find the total surface area of the rectangular prism:
24 + 54 + 36 + 72 + 24 + 48 = 258 square inches
Therefore, the surface area of the rectangular prism is 258 square inches.
Coordinate Geometry and Nets Unit Test
9 of 159 of 15 Items
Question
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
1 answer