Πώς να υπολογίσετε το Hexagonal Prism
Τι είναι το Hexagonal Prism;
A hexagonal prism has two regular hexagonal bases connected by six rectangular faces. It appears in honeycomb structures, pencils, and crystals.
Τύπος
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)
Οδηγός βήμα προς βήμα
- 1Base area = (3√3/2) × a²
- 2Volume = Base area × height
- 3Lateral surface = 6 × a × h
- 4Total surface = 2 × Base + Lateral
Worked Examples
Εισαγωγή
a = 4, h = 10
Αποτέλεσμα
Volume = (3√3/2)×16×10 = 415.69
Εισαγωγή
a = 5, h = 8
Αποτέλεσμα
Volume ≈ 519.62
Frequently Asked Questions
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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