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The number of edges of a triangular prism is _______.
- a)9
- b)3
- c)1
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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The number of edges of a triangular prism is _______.a)9b)3c)1d)None o...
(Notice that even when the triangular prism sits on a rectangle, the base is still a triangle.) Two of its faces are triangles; three of its faces are rectangles. It has six vertices and nine edges.
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The number of edges of a triangular prism is _______.a)9b)3c)1d)None o...
The correct answer is option A) 9.
Explanation:
A triangular prism is a three-dimensional shape that consists of two triangular bases and three rectangular faces. To determine the number of edges of a triangular prism, we need to count the number of line segments that form its boundaries.
1. Identify the Faces:
- A triangular prism has two triangular bases and three rectangular faces.
2. Count the Edges of the Triangular Bases:
- Each triangular base has three edges.
3. Count the Edges of the Rectangular Faces:
- Each rectangular face has four edges.
4. Calculate the Total Number of Edges:
- Total edges = (number of edges on the triangular bases) + (number of edges on the rectangular faces)
- Total edges = (3 edges on each triangular base) + (4 edges on each rectangular face)
- Total edges = (3 edges * 2 triangular bases) + (4 edges * 3 rectangular faces)
- Total edges = 6 + 12
- Total edges = 18
Therefore, a triangular prism has 18 edges. However, none of the given options match this number, so the correct answer should be "None of these" rather than option A) 9.
Explanation:
A triangular prism is a three-dimensional shape that consists of two triangular bases and three rectangular faces. To determine the number of edges of a triangular prism, we need to count the number of line segments that form its boundaries.
1. Identify the Faces:
- A triangular prism has two triangular bases and three rectangular faces.
2. Count the Edges of the Triangular Bases:
- Each triangular base has three edges.
3. Count the Edges of the Rectangular Faces:
- Each rectangular face has four edges.
4. Calculate the Total Number of Edges:
- Total edges = (number of edges on the triangular bases) + (number of edges on the rectangular faces)
- Total edges = (3 edges on each triangular base) + (4 edges on each rectangular face)
- Total edges = (3 edges * 2 triangular bases) + (4 edges * 3 rectangular faces)
- Total edges = 6 + 12
- Total edges = 18
Therefore, a triangular prism has 18 edges. However, none of the given options match this number, so the correct answer should be "None of these" rather than option A) 9.
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