मुफ्त पिरामिड आयतन कैलकुलेटर
पिरामिड का आयतन निकालें। आधार क्षेत्रफल और ऊंचाई दर्ज करें और आयतन की गणना करें।
आयतन
96.0000
Base Area36.0000
Lateral Sa102.5280
Total Sa138.5280
सूत्र
Square Pyramid Formulas
Volume
V = (1/3) × base² × h
Slant Height
l = sqrt(h² + (base/2)²)
The slant height runs from the apex to the midpoint of a base edge.
Surface Area
हल किया गया उदाहरण
Square pyramid with base side 6 and height 8.
- 01Volume = (1/3) × 36 × 8 = 96
- 02Slant height = √(64 + 9) = √73 ≈ 8.544
- 03Lateral SA = 2 × 6 × 8.544 ≈ 102.53
- 04Total SA = 36 + 102.53 ≈ 138.53
अक्सर पूछे जाने वाले प्रश्न
Why is the pyramid volume 1/3 of a prism?
A pyramid with the same base and height as a prism has exactly 1/3 the volume. This can be proven by slicing a cube into three congruent pyramids.
What about non-square base pyramids?
For any pyramid, V = (1/3) × base area × height. This calculator uses a square base, but the formula works for any base shape.
What are the dimensions of the Great Pyramid?
The Great Pyramid of Giza has a base side of about 230.4 meters and an original height of about 146.5 meters, giving a volume of roughly 2.6 million cubic meters.
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