如何计算Hexagonal Prism
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A hexagonal prism has two regular hexagonal bases connected by six rectangular faces. It appears in honeycomb structures, pencils, and crystals.
公式
A_base = (3√3/2)a²; V = A_base × h; LSA = 6ah; TSA = 2A_base + 6ah
- a
- side length (regular hexagon) (length)
- h
- height of prism (length)
- V
- volume (length³)
分步指南
- 1Base area = (3√3/2) × a²
- 2Volume = Base area × height
- 3Lateral surface = 6 × a × h
- 4Total surface = 2 × Base + Lateral
例题解析
输入
a = 4, h = 10
结果
Volume = (3√3/2)×16×10 = 415.69
输入
a = 5, h = 8
结果
Volume ≈ 519.62
常见问题
Why is the hexagonal prism so common in nature?
Honeycombs use hexagonal prisms because they tile efficiently and require minimal material for maximum volume.
How many faces, edges, and vertices does a hexagonal prism have?
8 faces (2 hexagons + 6 rectangles), 18 edges, and 12 vertices.
Is a hexagonal prism the same as a hexagonal cylinder?
No, a prism has flat rectangular sides, while a cylinder would have curved sides.
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