Jak vypočítat Tetrahedron
Co je Tetrahedron?
A regular tetrahedron is one of the five Platonic solids, consisting of four equilateral triangular faces. It is the simplest and most symmetric 3D shape with flat faces.
Vzorec
V = a³/(6√2); SA = √3 a²; h = a√(2/3)
- a
- edge length (length)
- V
- volume (length³)
- SA
- surface area (length²)
- h
- height (length)
Průvodce krok za krokem
- 1Volume = a³/(6√2)
- 2Surface area = √3 × a²
- 3Height h = a√(2/3)
- 4Edge length a determines all dimensions
Worked Examples
Vstup
Edge a = 6
Výsledek
Volume ≈ 25.46, SA ≈ 62.35
Vstup
Edge a = 4
Výsledek
Volume ≈ 7.54, SA ≈ 27.71
Frequently Asked Questions
What is the simplest 3D shape?
The tetrahedron (4 triangular faces) is the simplest 3D polyhedron, just as the triangle is the simplest 2D polygon.
How many vertices, edges, and faces does a tetrahedron have?
4 vertices, 6 edges, and 4 equilateral triangular faces.
Is a tetrahedron the same as a triangular pyramid?
Yes, a regular tetrahedron is a specific type of triangular pyramid where all four faces are equilateral triangles.
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