To find the surface area of the rectangular prism, we need to calculate the area of each individual rectangle and then add them all together.
1. The first rectangle has dimensions of 7 inches by 3 inches, so its area is 7 * 3 = 21 square inches.
2. The second rectangle has dimensions of 3 inches by 5 inches, so its area is 3 * 5 = 15 square inches.
3. The third rectangle has the same dimensions as the first rectangle (7 inches by 3 inches), so its area is also 21 square inches.
Adding up the areas of all the rectangles, we get:
21 + 15 + 21 + 21 + 15 + 21 = 114 square inches.
Therefore, the surface area of the rectangular prism is 114 square inches.
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 first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third 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.(power of 2)
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3 answers
Wrong try again
Apologies for the mistake. Let's correct the calculation:
1. The first rectangle has dimensions of 7 inches by 3 inches, so its area is 7 * 3 = 21 square inches.
2. The second rectangle has dimensions of 3 inches by 5 inches, so its area is 3 * 5 = 15 square inches.
3. The third rectangle has the same dimensions as the first rectangle (7 inches by 3 inches), so its area is also 21 square inches.
Now, we need to consider the other three faces of the rectangular prism:
4. The fourth rectangle is identical to the second rectangle with an area of 15 square inches.
5. The fifth rectangle has dimensions of 7 inches by 5 inches (the same as the second and fourth rectangles), with an area of 7 * 5 = 35 square inches.
6. The sixth rectangle is the same as the fifth, so its area is also 35 square inches.
Now, adding up the areas of all six rectangles:
21 + 15 + 21 + 15 + 35 + 35 = 142 square inches.
Therefore, the corrected surface area of the rectangular prism is 142 square inches.
1. The first rectangle has dimensions of 7 inches by 3 inches, so its area is 7 * 3 = 21 square inches.
2. The second rectangle has dimensions of 3 inches by 5 inches, so its area is 3 * 5 = 15 square inches.
3. The third rectangle has the same dimensions as the first rectangle (7 inches by 3 inches), so its area is also 21 square inches.
Now, we need to consider the other three faces of the rectangular prism:
4. The fourth rectangle is identical to the second rectangle with an area of 15 square inches.
5. The fifth rectangle has dimensions of 7 inches by 5 inches (the same as the second and fourth rectangles), with an area of 7 * 5 = 35 square inches.
6. The sixth rectangle is the same as the fifth, so its area is also 35 square inches.
Now, adding up the areas of all six rectangles:
21 + 15 + 21 + 15 + 35 + 35 = 142 square inches.
Therefore, the corrected surface area of the rectangular prism is 142 square inches.