The number of edges of a square pyramid is _______.a)4b)6c)8d)None of ...
The square base has 4 edges and all the vertices joining one vertex at the top form 4 more edges which totals to 8.
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The number of edges of a square pyramid is _______.a)4b)6c)8d)None of ...
The correct answer is option 'C': 8.
Explanation:
A square pyramid is a three-dimensional figure that has a square base and four triangular faces that meet at a common vertex. To determine the number of edges of a square pyramid, we need to count the number of edges that make up the square base and the edges of the triangular faces.
Edges of the Square Base:
A square has four sides, and each side is an edge. Therefore, the square base of the pyramid has 4 edges.
Edges of the Triangular Faces:
A triangular face has three sides, and each side is an edge. Since the square pyramid has four triangular faces, we need to count the edges of each face and add them together.
- Face 1: This face connects one side of the square base to the common vertex. It has three edges.
- Face 2: This face connects another side of the square base to the common vertex. It also has three edges.
- Face 3: This face connects the remaining side of the square base to the common vertex. It also has three edges.
- Face 4: This face connects the final side of the square base to the common vertex. It also has three edges.
Therefore, the total number of edges for the triangular faces is 3 + 3 + 3 + 3 = 12.
Total Number of Edges:
To find the total number of edges, we add the edges of the square base and the edges of the triangular faces:
4 (edges of the square base) + 12 (edges of the triangular faces) = 16.
However, since each edge is shared by two faces, we need to divide the total number of edges by 2:
16 ÷ 2 = 8.
Therefore, a square pyramid has 8 edges.
Summary:
The number of edges of a square pyramid is 8. This includes the 4 edges of the square base and the 12 edges of the triangular faces, divided by 2 since each edge is shared by two faces.
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