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Jinsi ya kukokotoa Octahedron

Octahedron ni nini?

A regular octahedron is one of the five Platonic solids, with 8 equilateral triangular faces, 12 edges, and 6 vertices. It looks like two square pyramids joined at the base.

Fomula

V = (√2/3)a³; SA = 2√3 a²
a
edge length (length)
V
volume (length³)
SA
surface area (length²)

Mwongozo wa Hatua kwa Hatua

  1. 1Volume = (√2/3) × a³
  2. 2Surface area = 2√3 × a²
  3. 3Face diagonal = a√2
  4. 4Height = a√2

Mifano Iliyotatuliwa

Ingizo
Edge a = 4
Matokeo
Volume ≈ 30.17, SA ≈ 55.42
Ingizo
Edge a = 6
Matokeo
Volume ≈ 101.82, SA ≈ 124.71

Maswali yanayoulizwa mara kwa mara

Why is the octahedron called a Platonic solid?

It's one of five Platonic solids: all faces are congruent regular polygons, and the same number of faces meet at each vertex.

How many vertices, edges, and faces does an octahedron have?

The octahedron has 6 vertices, 12 edges, and 8 equilateral triangular faces.

What is the dual polyhedron of an octahedron?

The cube (hexahedron) is the dual. Its vertices correspond to the octahedron's face centers.

Je, uko tayari kukokotoa? Jaribu Kikokotoo kisicholipishwa cha Octahedron

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