Describe the attributes of square pyramid

1 answer

The attributes of a square pyramid include:

1. Base: A square pyramid has a square base, which means all four sides of the base are equal in length, and all four interior angles are right angles (90 degrees).

2. Faces: A square pyramid has four triangular faces, which are congruent isosceles triangles. These triangles meet at a common vertex called the apex.

3. Apex: The apex of a square pyramid is a single point located directly above the center of the square base. It is the highest point of the pyramid.

4. Edges: A square pyramid has eight edges, formed by the intersection of the triangular faces. Each edge is shared by two triangles.

5. Height: The height of a square pyramid is the perpendicular distance from the apex to the base. It is not the same as the slant height, which is the distance from the apex to any midpoint on an edge of the base. The height can be computed using the Pythagorean theorem.

6. Symmetry: A square pyramid has rotational symmetry, meaning it can be rotated around its axis by certain angles and still appear the same. It has a rotational symmetry of order four, as it looks the same after a 90-degree rotation.

7. Volume: The volume of a square pyramid can be calculated using the formula V = (1/3) * base area * height, where the base area is equal to the length of one side of the square base squared.

8. Surface Area: The surface area of a square pyramid can be computed by adding the area of the base square to the sum of the areas of the four triangular faces.