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 third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
(1 point)
in.2
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To find the surface area of the rectangular prism, we need to find the area of each of the six rectangles and then add them all together.
The first rectangle has a top and bottom side of 4 inches each, and a right and left side of 8 inches each. So, its area is 4 * 8 = 32 in².
The second and fourth rectangles are similar, with sides of 2.25 inches and 8 inches. The area of each of these rectangles is 2.25 * 8 = 18 in².
The third rectangle has a top and bottom side of 4 inches and a right side of 8 inches. So its area is 4 * 8 = 32 in².
Adding up the areas of all six rectangles, we get:
32 + 18 + 32 + 18 + 32 + 18 = 150 in².
Therefore, the surface area of the rectangular prism is 150 in².
Wrong try again
To find the surface area of the rectangular prism, we need to calculate the area of each of the six rectangles that make up the prism.
Let's label the rectangles for easier reference:
- Rectangle 1: 4 inches x 8 inches
- Rectangle 2: 2.25 inches x 8 inches
- Rectangle 3: 4 inches x 8 inches
- Rectangle 4: 2.25 inches x 8 inches
- Rectangle 5: 4 inches x 4 inches
- Rectangle 6: 4 inches x 4 inches
Now, let's calculate the area of each rectangle:
1. 4 x 8 = 32 square inches
2. 2.25 x 8 = 18 square inches
3. 4 x 8 = 32 square inches
4. 2.25 x 8 = 18 square inches
5. 4 x 4 = 16 square inches
6. 4 x 4 = 16 square inches
Add up all the areas:
32 + 18 + 32 + 18 + 16 + 16 = 132
Therefore, the surface area of the rectangular prism is 132 square inches.