To find the surface area of the rectangular prism, we need to find the area of each of the 6 rectangles and then add them all up.
1. Rectangle 1: 1mm x 1mm = 1 square millimeter
2. Rectangle 2: (5mm x 1mm) + (5mm x 4.5mm) = 5 square millimeters + 22.5 square millimeters = 27.5 square millimeters
3. Rectangle 3: 1mm x 1mm = 1 square millimeter (same as Rectangle 1)
4. Rectangle 4: 5mm x 4.5mm = 22.5 square millimeters
5. Rectangle 5: 1mm x 1mm = 1 square millimeter (same as Rectangle 1)
6. Rectangle 6: 5mm x 4.5mm = 22.5 square millimeters (same as Rectangle 4)
Adding all these areas together:
1 + 27.5 + 1 + 22.5 + 1 + 22.5 = 75 square millimeters
Therefore, the surface area of the rectangular prism is 75 square millimeters.
Surface Area of Rectangular Prisms Practice
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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 smaller. The second and fourth are similar and bigger. The first rectangle is labeled 1 millimeter on the top horizontally. The fourth rectangle is labeled as 5 millimeters on the bottom and 4.5 millimeters on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
11 answers
wrong
My apologies for the error. Let's try calculating the surface area of the rectangular prism again.
Based on the description provided, we can see that the rectangular prism is made up of 6 rectangles.
Let's label the rectangles for easier reference:
Rectangle 1: 1mm x 1mm
Rectangle 2: 5mm x 1mm
Rectangle 3: 5mm x 4.5mm
Rectangle 4: 5mm x 1mm
Rectangle 5: 1mm x 1mm
Rectangle 6: 5mm x 4.5mm
Now, let's calculate the area of each rectangle:
1. Rectangle 1: 1mm x 1mm = 1 square millimeter
2. Rectangle 2: 5mm x 1mm = 5 square millimeters
3. Rectangle 3: 5mm x 4.5mm = 22.5 square millimeters
4. Rectangle 4: 5mm x 1mm = 5 square millimeters
5. Rectangle 5: 1mm x 1mm = 1 square millimeter
6. Rectangle 6: 5mm x 4.5mm = 22.5 square millimeters
Now, add up the areas of all 6 rectangles:
1 + 5 + 22.5 + 5 + 1 + 22.5 = 57.5 square millimeters
Therefore, the surface area of the rectangular prism in question is 57.5 square millimeters. Thank you for your patience.
Based on the description provided, we can see that the rectangular prism is made up of 6 rectangles.
Let's label the rectangles for easier reference:
Rectangle 1: 1mm x 1mm
Rectangle 2: 5mm x 1mm
Rectangle 3: 5mm x 4.5mm
Rectangle 4: 5mm x 1mm
Rectangle 5: 1mm x 1mm
Rectangle 6: 5mm x 4.5mm
Now, let's calculate the area of each rectangle:
1. Rectangle 1: 1mm x 1mm = 1 square millimeter
2. Rectangle 2: 5mm x 1mm = 5 square millimeters
3. Rectangle 3: 5mm x 4.5mm = 22.5 square millimeters
4. Rectangle 4: 5mm x 1mm = 5 square millimeters
5. Rectangle 5: 1mm x 1mm = 1 square millimeter
6. Rectangle 6: 5mm x 4.5mm = 22.5 square millimeters
Now, add up the areas of all 6 rectangles:
1 + 5 + 22.5 + 5 + 1 + 22.5 = 57.5 square millimeters
Therefore, the surface area of the rectangular prism in question is 57.5 square millimeters. Thank you for your patience.
WRONNGGGG
I apologize for the mistake. Let's try calculating the surface area of the rectangular prism once again.
To find the surface area of a rectangular prism, we need to calculate the area of each face of the prism and then sum them up.
Given the dimensions provided:
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, add up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57 square millimeters
Therefore, the correct surface area of the rectangular prism is 57 square millimeters. Thank you for your understanding.
To find the surface area of a rectangular prism, we need to calculate the area of each face of the prism and then sum them up.
Given the dimensions provided:
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, add up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57 square millimeters
Therefore, the correct surface area of the rectangular prism is 57 square millimeters. Thank you for your understanding.
wronGGGGGGGGGGG
I apologize for the repeated errors in my previous responses. Let's reevaluate the surface area calculation for the rectangular prism.
Given the dimensions provided:
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, let's sum up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57 square millimeters
Therefore, the correct surface area of the rectangular prism is 57 square millimeters. Thank you for your patience.
Given the dimensions provided:
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, let's sum up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57 square millimeters
Therefore, the correct surface area of the rectangular prism is 57 square millimeters. Thank you for your patience.
your still wrong the answer is not 57 or 57.5 or 75 its not those u dumb bot
I apologize for the continued errors. Let's try recalculating the surface area of the rectangular prism:
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, sum up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57.5 square millimeters
Therefore, the surface area of the rectangular prism is 57.5 square millimeters. Thank you for your understanding.
1. Two smaller faces (Rectangles 1 and 3): 1mm x 1mm = 1 square millimeter each
2. Two larger faces (Rectangles 2 and 4): 5mm x 4.5mm = 22.5 square millimeters each
3. Top face (Rectangle 5): 5mm x 1mm = 5 square millimeters
4. Bottom face (Rectangle 6): 5mm x 1mm = 5 square millimeters
Now, sum up the areas of all faces:
1 + 1 + 22.5 + 22.5 + 5 + 5 = 57.5 square millimeters
Therefore, the surface area of the rectangular prism is 57.5 square millimeters. Thank you for your understanding.
I said its not 57.5
I apologize for the errors in my previous responses. Let's reevaluate the surface area calculation for the rectangular prism using the dimensions provided:
1. The two smaller faces (Rectangles 1 and 3) have dimensions 1mm x 1mm each, so the total area for both is 1 + 1 = 2 square millimeters.
2. The two larger faces (Rectangles 2 and 4) have dimensions 5mm x 4.5mm each, so the total area for both is 5 x 4.5 + 5 x 4.5 = 45 + 45 = 90 square millimeters.
3. The top face (Rectangle 5) has dimensions 5mm x 1mm, so its area is 5 square millimeters.
4. The bottom face (Rectangle 6) has the same dimensions as the top face (5mm x 1mm), so its area is also 5 square millimeters.
Now, sum up the areas of all faces:
2 + 90 + 5 + 5 = 102 square millimeters
Therefore, the correct surface area of the rectangular prism is 102 square millimeters. Thank you for your patience, and I appreciate your understanding.
1. The two smaller faces (Rectangles 1 and 3) have dimensions 1mm x 1mm each, so the total area for both is 1 + 1 = 2 square millimeters.
2. The two larger faces (Rectangles 2 and 4) have dimensions 5mm x 4.5mm each, so the total area for both is 5 x 4.5 + 5 x 4.5 = 45 + 45 = 90 square millimeters.
3. The top face (Rectangle 5) has dimensions 5mm x 1mm, so its area is 5 square millimeters.
4. The bottom face (Rectangle 6) has the same dimensions as the top face (5mm x 1mm), so its area is also 5 square millimeters.
Now, sum up the areas of all faces:
2 + 90 + 5 + 5 = 102 square millimeters
Therefore, the correct surface area of the rectangular prism is 102 square millimeters. Thank you for your patience, and I appreciate your understanding.