Hexagonal Prismని ఎలా లెక్కించాలి
Hexagonal Prism అంటే ఏమిటి?
A hexagonal prism has two regular hexagonal bases connected by six rectangular faces. It appears in honeycomb structures, pencils, and crystals.
సూత్రం
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)
దశల వారీ గైడ్
- 1Base area = (3√3/2) × a²
- 2Volume = Base area × height
- 3Lateral surface = 6 × a × h
- 4Total surface = 2 × Base + Lateral
పరిష్కరించిన ఉదాహరణలు
ఇన్పుట్
a = 4, h = 10
ఫలితం
Volume = (3√3/2)×16×10 = 415.69
ఇన్పుట్
a = 5, h = 8
ఫలితం
Volume ≈ 519.62
తరచుగా అడిగే ప్రశ్నలు
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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