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Pyramid Calculator

Geometry

Square pyramid volume, lateral area and slant height

Quick Answer

Pyramid Calculator: Square pyramid volume, lateral area and slant height. Volume V = a²h ÷ 3 (one third of the containing cuboid).

Enter any one value, the rest auto-solve
Diagram (updates live with input)
h = 12.00a = 10.00

Step-by-step

斜高 l = √(h² + (a/2)²) = √(12.0000² + 5.0000²) = 13.0000

V = a²h / 3 = 10.0000² × 12.0000 / 3 = 400.0000

侧面积 = 2al = 2 × 10.0000 × 13.0000 = 260.0000

表面积 = 侧面积 + a² = 360.0000，侧棱长 e = √(h² + a²/2) = 13.9284

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How to Use

  1. Enter known values: fill sides, radius or angles in the Pyramid Calculator.
  2. Auto-solve the rest: all unknowns are solved instantly — no manual derivation.
  3. See formula and steps: the result panel shows the formula used and the substitution.
  4. Try another case: change any known value to solve again.

Key Points

  • Pyramid Calculator is a free online geometry tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Square pyramid volume, lateral area and slant height.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Square pyramid formulas (base edge a, height h)

Volume V = a²h ÷ 3 (one third of the containing cuboid)
Slant height l = √(h² + (a/2)²)
Lateral area = 2al; total surface = 2al + a²
Lateral edge = √(h² + a²/2)

Example: a=6, h=4 → V=48, slant=5, lateral=60.

FAQ

How do I use the Pyramid Calculator?
Open the page and fill in the input fields — results update automatically. Square pyramid volume, lateral area and slant height.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on standard Euclidean geometry formulas. Last updated: 2025-07

Last updated:

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Cite this page: YiJianSuan. Pyramid Calculator[EB/OL]. https://www.yijiansuan.com/en/c/geometry/pyramid

Results provided by this tool are for reference only and do not constitute professional advice.