1 How many faces does a square pyramid have?
2 How many edges does a square pyramid have?
3 How many vertices does a square pyramid have?
answer? 8, 5, 10
Viualize one of the great pyramids of Egypt.
It's base is a square and it has four sides. So the total number of faces is 5.
There are 4 edges along the base and 4 edges along the sides, for a total of 8
There are 4 vertices along the base and one at the top, so 5 in total.
Even though the square pyramid is the one most people think of when they hear the word, in math any 3D shape that sits on a base and comes to a single vertex is called a "pyramid".
for example, you could have a pyramid with a hexagon as its base
, and it would have 6 faces, 12 edges, and 7 vertices.
How many faces does a hexagonal pyramid have? How many edges does it have? How many vertices does it have?
To answer these questions, first, let's consider the base of the pyramid. In a hexagonal pyramid, the base is a hexagon which has 6 sides. So, the number of faces in a hexagonal pyramid is 6 for the hexagon base.
Next, we need to consider the triangular faces of the pyramid. For each side of the hexagon base, there is a corresponding triangular face connecting that side to the top vertex. Since a hexagon has 6 sides, there are 6 triangular faces in total.
Therefore, the total number of faces in a hexagonal pyramid is 6 (for the hexagon base) + 6 (for the triangular faces) = 12.
Moving on to the number of edges, each side of the hexagon base contributes an edge to the pyramid. So, the hexagonal pyramid has 6 edges along the base.
Now let's consider the edges of the triangular faces. Each triangular face contributes 3 edges. As we have established earlier, there are 6 triangular faces in total. Therefore, the hexagonal pyramid has 3 x 6 = 18 edges in total.
Lastly, the number of vertices can be calculated by considering the corners of the hexagon base and the top vertex. The hexagon base has 6 vertices, and the top vertex adds 1 more. So, the total number of vertices in a hexagonal pyramid is 6 (from the base) + 1 (top vertex) = 7.
In summary, a hexagonal pyramid has 12 faces, 18 edges, and 7 vertices.
1. A square pyramid has 5 faces.
2. A square pyramid has 8 edges.
3. A square pyramid has 5 vertices.