Advanced Square Pyramid Calculator

Advanced Square Pyramid Calculator

Calculate volume, surface area, and geometric properties of square pyramids

🔺 Square Pyramid Calculator

Enter dimensions to calculate pyramid properties

Base & Height
Base & Slant Height

📊 Pyramid Properties

Complete geometric calculations

Dimensions: Base: 10 ft, Height: 12 ft
Volume: 400 ft³
Surface Area: 360 ft²
Slant Height: 13 ft
Lateral Area: 260 ft²

📈 Pyramid Analysis

Visual breakdown of pyramid properties

🔺 3D Pyramid Model

Interactive 3D visualization

Mouse: Rotate pyramid
Wheel: Zoom in/out

Square Pyramid Geometry Guide

A square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at a single point called the apex. Understanding its properties is essential in architecture, engineering, and mathematics.

Square Pyramid Formulas

Volume = (1/3) × Base Area × Height
Base Area = Side Length²
Slant Height = √(Height² + (Side/2)²)
Lateral Area = 2 × Side × Slant Height
Surface Area = Base Area + Lateral Area

Volume: The volume represents the space inside the pyramid. It's calculated as one-third of the base area multiplied by the height, following the general pyramid volume formula.

Surface Area: The total surface area includes both the square base and the four triangular lateral faces. This is important for material calculations in construction and manufacturing.

Slant Height: The distance from the midpoint of any base edge to the apex, measured along the face. This differs from the vertical height and is crucial for calculating lateral surface area.

Applications: Square pyramids appear in architecture (Egyptian pyramids, modern buildings), engineering (roof designs, structural elements), and mathematics (geometry, calculus applications).

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