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A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.
What is the surface area of the triangular prism? for florida connexus
4 of 54 of 5 Items
Question
Use the image to answer the question.
A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.
What is the surface area of the triangular prism? for florida connexus
Answers
GPT 3.5
To find the surface area of the triangular prism, you need to calculate the surface area of each face and then add them up.
1. Surface area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 6 * 8
Area = 24 square centimeters
2. Surface area of the right rectangular face:
Area = length * width
Area = 10 * 9
Area = 90 square centimeters
3. Surface area of the left rectangular face (which is the same as the right rectangular face):
Area = 90 square centimeters
4. Surface area of the bottom face (the base of the prism):
Area = base * height
Area = 6 * 9
Area = 54 square centimeters
5. Surface area of the top face (which is the same as the bottom face):
Area = 54 square centimeters
Now, add up all the areas:
24 + 90 + 90 + 54 + 54 = 312 square centimeters
Therefore, the surface area of the triangular prism is 312 square centimeters.
1. Surface area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 6 * 8
Area = 24 square centimeters
2. Surface area of the right rectangular face:
Area = length * width
Area = 10 * 9
Area = 90 square centimeters
3. Surface area of the left rectangular face (which is the same as the right rectangular face):
Area = 90 square centimeters
4. Surface area of the bottom face (the base of the prism):
Area = base * height
Area = 6 * 9
Area = 54 square centimeters
5. Surface area of the top face (which is the same as the bottom face):
Area = 54 square centimeters
Now, add up all the areas:
24 + 90 + 90 + 54 + 54 = 312 square centimeters
Therefore, the surface area of the triangular prism is 312 square centimeters.
b
the bot, the answer is wrong
GPT 3.5
I apologize for the error. Let's correct the calculation:
1. Surface area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 6 * 8
Area = 24 square centimeters
2. Surface area of the rectangular faces (right and left):
Area = length * width
Area = 10 * 9
Area = 90 square centimeters for each face, so a total of 180 square centimeters for both faces
3. Surface area of the triangular bases:
Area = (1/2) * base * height
Area = (1/2) * 6 * 10
Area = 30 square centimeters for each base, so a total of 60 square centimeters for both bases
Now, let's add up all the areas:
24 (front face) + 180 (rectangular faces) + 60 (triangular bases) = 264 square centimeters
Therefore, the corrected surface area of the triangular prism is 264 square centimeters. Thank you for pointing out the mistake.
1. Surface area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 6 * 8
Area = 24 square centimeters
2. Surface area of the rectangular faces (right and left):
Area = length * width
Area = 10 * 9
Area = 90 square centimeters for each face, so a total of 180 square centimeters for both faces
3. Surface area of the triangular bases:
Area = (1/2) * base * height
Area = (1/2) * 6 * 10
Area = 30 square centimeters for each base, so a total of 60 square centimeters for both bases
Now, let's add up all the areas:
24 (front face) + 180 (rectangular faces) + 60 (triangular bases) = 264 square centimeters
Therefore, the corrected surface area of the triangular prism is 264 square centimeters. Thank you for pointing out the mistake.