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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.
Công thức
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)
Hướng dẫn từng bước
- 1Volume = a³/(6√2)
- 2Surface area = √3 × a²
- 3Height h = a√(2/3)
- 4Edge length a determines all dimensions
Ví dụ có lời giải
đầu vào
Edge a = 6
Kết quả
Volume ≈ 25.46, SA ≈ 62.35
đầu vào
Edge a = 4
Kết quả
Volume ≈ 7.54, SA ≈ 27.71
Câu hỏi thường gặp
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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