Hexagonal Prism ની ગણતરી કેવી રીતે કરવી
Hexagonal Prism શું છે?
A hexagonal prism has two regular hexagonal bases connected by six rectangular faces. It appears in honeycomb structures, pencils, and crystals.
સૂત્ર
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)
પગલું દ્વારા પગલું માર્ગદર્શિકા
- 1Base area = (3√3/2) × a²
- 2Volume = Base area × height
- 3Lateral surface = 6 × a × h
- 4Total surface = 2 × Base + Lateral
Worked Examples
ઇનપુટ
a = 4, h = 10
પરિણામ
Volume = (3√3/2)×16×10 = 415.69
ઇનપુટ
a = 5, h = 8
પરિણામ
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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