Triangular Pyramid Surface Area Calculator

Calculate the surface area of a triangular pyramid (tetrahedron) using base area and slant height measurements

Input Parameters

Calculation Results

Calculation Formula

Surface Area = Base Area + 3 × (1/2 × Base Length × Slant Height)

Where:
Base Area = (1/2 × Base Width × Base Length)
Slant Height is the height of each triangular face from its base to the apex

Base Area:

0.00 units²

Lateral Surface Area:

0.00 units²

Total Surface Area:

0.00 units²

Triangular Pyramid Surface Area Calculator Usage Guide

Learn how to use the calculator to find the surface area of a triangular pyramid

How to Use This Calculator

  1. Enter the Base Length of your triangular pyramid (the length of one side of the triangular base)
  2. Enter the Base Width (the width of the triangular base, measured across the base)
  3. Enter the Slant Height (the height of each triangular face from its base to the apex)
  4. Click the Calculate button to compute the surface area

Understanding the Results

The calculator provides three measurements:

  • Base Area: The area of the triangular base (½ × base width × base length)
  • Lateral Surface Area: The total area of the three triangular faces
  • Total Surface Area: The sum of the base area and lateral surface area

Formula Reference

The calculations are based on these formulas:

Base Area = (½ × Base Width × Base Length)

Lateral Surface Area = 3 × (½ × Base Length × Slant Height)

Total Surface Area = Base Area + Lateral Surface Area

Example

If you have a triangular pyramid with:

  • Base Length = 6 units
  • Base Width = 4 units
  • Slant Height = 5 units

The calculator will compute:

  • Base Area = 12 units²
  • Lateral Surface Area = 45 units²
  • Total Surface Area = 57 units²