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 smaller. The second and fourth are similar and bigger. The first rectangle is unlabeled. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 9 centimeters on the bottom and 5 centimeters on the right side. The right most rectangle is labeled 8 cm vertically on the right side.
What is the surface area of the rectangular prism?(1 point)
cm2
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 together.
1. First rectangle (unlabeled): The surface area is unknown.
2. Second rectangle: Area = 9 cm * 5 cm = 45 cm²
3. Third rectangle: Area = 9 cm * 5 cm = 45 cm² (since it's similar to the second rectangle)
4. Fourth rectangle: Area = 9 cm * 8 cm = 72 cm²
5. Fifth rectangle: Area = 8 cm * 5 cm = 40 cm²
6. Sixth rectangle: Area = 8 cm * 5 cm = 40 cm² (since it's similar to the fifth rectangle)
Now, add the areas of all rectangles together:
45 cm² + 45 cm² + 72 cm² + 40 cm² + 40 cm² = 242 cm²
Therefore, the surface area of the rectangular prism is 242 cm².
wrong
I apologize for the mistake. Let's re-calculate the surface area of the rectangular prism.
Given:
- Top rectangle: 9 cm x 5 cm
- Right rectangle: 8 cm x 5 cm
- Front rectangle: 9 cm x 8 cm
To find the surface area, we need to calculate the area of each face, and then add up all the areas:
- Top face: 9 cm x 5 cm = 45 cm²
- Bottom face (same as top): 45 cm²
- Right face: 8 cm x 5 cm = 40 cm²
- Left face (same as right): 40 cm²
- Front face: 9 cm x 8 cm = 72 cm²
- Back face (same as front): 72 cm²
Adding up all the areas:
45 cm² (top) + 45 cm² (bottom) + 40 cm² (right) + 40 cm² (left) + 72 cm² (front) + 72 cm² (back) = 314 cm²
Therefore, the surface area of the rectangular prism is 314 cm². Thank you for your patience.