Rectangular Pyramid Maker: Volume, Surface Area & Slant Heights

Online calculator to calculate the slant heights, surface area, the volume and many other parameters of a pyramid given the dimensions of its rectangular base and its height. The calculator gives all parameters necessary to make a pyramid with a rectangular base. The net of the pyramid with all parameters to make it is shown at the bottom of the page.

Formulas of Area and Volume of the Pyramid Used in this Calculator

\[ \begin{aligned} &\text{Base area: } A_b = L \times W \\\\ &\text{Slant height (TO'): } H' = \sqrt{H^2+(L/2)^2} \\\\ &\text{Slant height (TO''): } H'' = \sqrt{H^2+(W/2)^2} \\ &\text{Area of Triangle DTC: } A_{DTC} = \tfrac12 H' W \\\\ &\text{Area of Triangle ATD: } A_{ATD} = \tfrac12 H'' L \\\\ &\text{Total area: } A_T = A_b + 2A_{DTC} + 2A_{ATD} \\\\ &\text{Volume: } V = \tfrac13 A_b H = \frac{L W H}{3} \\\\ &\text{Edge length: } S = \sqrt{H^2 + (L/2)^2 + (W/2)^2} \\\\ &\text{Angles: } \alpha = 2\arcsin\frac{W/2}{S},\; \beta = 2\arcsin\frac{L/2}{S} \end{aligned} \]

Rectangular Pyramid Calculator

Enter length L, width W, height H (positive numbers). Decimals are fine.

base dimensions & height

Length \(L\)

Width \(W\)

Height \(H\)

* all values > 0

Decimal places:

H' (slant TO') —

H'' (slant TO'') —

Ab (base area) —

A_DTC (face) —

A_ATD (face) —

At (total area) —

V (volume) —

S (edge length) —

α (angle DTC) — °

β (angle ATD) — °

Net of the pyramid (dimensions to scale)

more references

Online Geometry Calculators and Solvers.