Coordinate Geometry and Nets Unit Test

3 of 133 of 13 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
Skip to navigation

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the surface area of the rectangular prism, we need to add up the areas of all the rectangles.

The surface area of the rectangular prism can be calculated as follows:

First rectangle (top): 54 square inches
Second rectangle (bottom): 24 square inches
Third rectangle (front): 36 square inches
Fourth rectangle (back): 36 square inches
Fifth rectangle (left side): 54 square inches
Sixth rectangle (right side): 54 square inches

Adding all these areas together:

54 + 24 + 36 + 36 + 54 + 54 = 258 square inches

Therefore, the surface area of the rectangular prism is 258 square inches.