Answer
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Hint: In this problem, we have to find the given problem is true or false. That which the given hexagonal pyramid is $3 - D$ objects or shapes that can be formed from the given net. Understanding the picture and calculate the number of faces, vertices, and edges in the given problem is the simple method to solve the problem.
Complete step y step answer:
In the picture, the base is hexagonal which has six sides.
The pyramid will have one additional triangular face. That for each edge of the base. This makes that the total of seven faces.
That is six triangular faces plus one hexagonal face in the given picture.
The base provides the six vertices and the top of the pyramid gives one more vertex.
Therefore for the picture, there are a total of seven vertices.
There are twelve edges in the given picture.
Six edges are made by the base.
And the other six edges are shared edges extending.
Therefore totally there are twelve edges.
Therefore the solution for this question is true.
We can write this explanation as mathematical terms like,
Number of faces in the net \[ = 7\](one hexagon plus seven triangles)
Number of vertices in the net \[ = 7\]
Number of edges in the net \[ = 12\]
Therefore the possible shape we get from the net is the hexagonal pyramid.
Therefore the solution for the given question is option A true.
The explanation for the option B: Option B is false.
From the above solution, we explain why the answer is true.
Therefore option B is not an answer for the given question.
Note:
In mathematics, a hexagonal pyramid is defined as a pyramid with a hexagon base. Vertices are defined as the point where the two lines meet and form an angle and the corners. Simply defined as the face is a flat surface. And a vertex is the corner where the edges are meeting.
Complete step y step answer:
In the picture, the base is hexagonal which has six sides.
The pyramid will have one additional triangular face. That for each edge of the base. This makes that the total of seven faces.
That is six triangular faces plus one hexagonal face in the given picture.
The base provides the six vertices and the top of the pyramid gives one more vertex.
Therefore for the picture, there are a total of seven vertices.
There are twelve edges in the given picture.
Six edges are made by the base.
And the other six edges are shared edges extending.
Therefore totally there are twelve edges.
Therefore the solution for this question is true.
We can write this explanation as mathematical terms like,
Number of faces in the net \[ = 7\](one hexagon plus seven triangles)
Number of vertices in the net \[ = 7\]
Number of edges in the net \[ = 12\]
Therefore the possible shape we get from the net is the hexagonal pyramid.
Therefore the solution for the given question is option A true.
The explanation for the option B: Option B is false.
From the above solution, we explain why the answer is true.
Therefore option B is not an answer for the given question.
Note:
In mathematics, a hexagonal pyramid is defined as a pyramid with a hexagon base. Vertices are defined as the point where the two lines meet and form an angle and the corners. Simply defined as the face is a flat surface. And a vertex is the corner where the edges are meeting.
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