Pyramid Surface Area Calculator

Notes: Surface area = base area + lateral area. Provide slant height `l` optionally; otherwise calculator computes it from `H` and base geometry.

The Pyramid Surface Area Calculator allows you to calculate the total surface area of various pyramid shapes instantly. Regardless of whether it has a square, rectangular, triangular, pentagonal, or hexagonal base, this tool streamlines intricate formulas into quick and precise outcomes.

What Is a Pyramid?

A pyramid is a three-dimensional geometric solid with:

A polygon as its base (triangle, square, rectangle, pentagon, hexagon, etc.)

  • Triangular faces that meet at a single apex (top point)
  • Pyramids vary based on the shape of their base:

Pyramids vary based on the shape of their base:

  • Square pyramid – base is a square
  • Rectangular pyramid – base is a rectangle
  • Triangular pyramid – base is a triangle
  • Pentagonal pyramid – base is a pentagon
  • Hexagonal pyramid – base is a hexagon

Formula for Surface Area of a Pyramid

Square Pyramid

Base Shape: Square

Given: Base side = a, slant height = l

Formula

Surface Area = a 2 + 2 a l

Rectangular Pyramid

Base Shape: Rectangle

Given: Length = l, width = w, slant heights s1 (length side) & s2 (width side)

Formula

Surface Area = lw + l s1 + w s2

Triangular Pyramid (Equilateral)

Base Shape: Equilateral Triangle

Given: Side = a, slant height = l

Formula

Surface Area = 3 4 a2 + 3 2 al

Pentagonal Pyramid

Base Shape: Regular Pentagon

Given: Side = a, apothem of base = b, slant height = l

Formula:

Surface Area = 5a 2 ( b + l )

Hexagonal Pyramid

Base Shape: Regular Hexagon

Given: Side = a, apothem = b, slant height = l

Formula:

Surface Area = 3ab + 3al = 3 a ( b + l )

How to Use Our Pyramid Surface Area Calculator?

  1. Select the “Base type” of pyramid whose surface area has to be calculated.
  2. Enter the required dimensions.
  3. Click “Calculate” to find the surface area.

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