The below lateral edge tutorial list the types of lateral edges of different shapes like cube, pyramid, tetrahedron and octahedron along with images. You could easily learn faces of different geometrical objects with ease.
Lateral Edge Definition In a three dimensional space, lateral edge refers to the edge that forms as an intersection between the two lateral faces. Lateral face refers to the face of any solid 3-dimensional figure, but not the base. It is solid figure varies based on the lateral face.
A pyramid is a solid with one base and lateral faces that meet at a common vertex. The edges between the lateral faces are lateral edges and the edges between the base and the lateral faces are base edges.
Formula:
a =√ h2 + r2
Example:
Calculate the lateral edge of the pyramid with the height of 50 cm and radius of 30 cm.
a =√ 502 + 302
Lateral Edge of the Pyramid = 58.309518948 cm
A cube is made of six identical faces. The lateral surface of a cube is the face on its sides, side of faces 'a' or edges is know as lateral edges.
Formula:
a = √(Lateral Surface Area/4)
Example:
Calculate the lateral edge of the cube with the LSA of the cube be 20 cm.
a = √(20 / 4)
Lateral Edge of the Cube = 2.236067977 cm
A pyramid on a triangular base is called a tetrahedron. In other words, a tetrahedron is a solid bounded by four triangular faces.
Formula: a = 3h/ √area Example: Calculate the lateral edge of the Tetrahedron in which its height and area measurements be 60 cm and 45 cm respectively. a = (3 x 60)/ √45 Lateral Edge of the Tetrahedron = 26.832815732 cm
An octahedron is a three-dimensional polyhedron with eight faces. It has six vertices, 12 edges and four Lateral Edges.
