Base edge and vertical height
Base edge a + Vertical height h
l = √(h²+a²/4); V = a²h/3; S = a²+2al
Open calculator ↗GEOMETRY, ONE FIGURE AT A TIMERight square pyramid.
Right square pyramid.
Understand every measure.
A square base, a centred apex. Four free tools, clear formulas and a little discovery along the way.
Find your calculator ↗FIGURE 213D / REFERENCE DRAWING
RIGHT SQUARE PYRAMIDNOT TO SCALE
THE CALCULATOR DESK
Start with what you know.
4 calculators available
Base edge and face slant height
Base edge a + Face slant height l
h = √(l²−a²/4)
Open calculator ↗Volume and base edge
Volume V + Base edge a
h = 3V/a²
Open calculator ↗Total surface area and base edge
Total surface area S + Base edge a
l = (S−a²)/(2a)
Open calculator ↗MEET THE FIGURE
A right square pyramid, explained.
A right square pyramid has a square base and an apex directly above the base centre. Its four lateral faces are congruent isosceles triangles. These assumptions are essential to its slant-height formulas.
Understand the properties ↗LOOK A LITTLE CLOSER
More than a formula.
Its volume is one-third that of a prism with the same base and vertical height.
Do not substitute a lateral edge for a face slant height. The apex must lie over the base centre for these calculators.
Explore three geometry facts ↗These tools use ideal Euclidean geometry. Every input must use the same unit. Numerical results are rounded and do not replace measurement, specialist design or safety checks. See worked examples.