Pyramid Calculator
Calculate the volume and surface area of a pyramid with different base shapes (square, rectangle, triangle).
These formulas assume a right pyramid: the apex is directly above the center of a square or rectangle, or the center of an equilateral triangle.
Results
Enter values and click Calculate to see the result.
Theory & Formula
What is a Pyramid?
A pyramid is a polyhedron formed by connecting a polygonal base and a point (apex). The lateral faces are triangles that meet at the apex.
Formulas
Volume:
\(V = \frac{1}{3}A_{base} \times h\)Slant Height (for square base):
\(l = \sqrt{(\frac{b}{2})^2 + h^2}\)Surface Area:
\(SA = A_{base} + A_{lateral}\)Example
For a square pyramid with base length 4 and height 6:
\(A_{base} = 4^2 = 16\) square units\(V = \frac{1}{3} \times 16 \times 6 = 32\) cubic units