To find the surface area of the rectangular prism, we need to calculate the area of each individual rectangle and then sum them all up.
The area of the first rectangle (similar and bigger) = 54 square inches
The area of the second rectangle (similar and smaller) = 24 square inches
The area of the third rectangle (similar and bigger) = 36 square inches
Since the top and bottom rectangles are similar, the area of the bottom rectangle is also 54 square inches.
Now, let's calculate the area of the remaining two rectangles on the sides of the rectangular prism:
Area of the fourth rectangle = 24 square inches
Area of the fifth rectangle = 36 square inches
Adding up all the areas:
54 + 24 + 36 + 54 + 24 + 36 = 228 square inches
So, the surface area of the rectangular prism is 228 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)
1 answer