Reckoning / Shape / Regular prism
Solid · Prisms and pyramids
Regular prism
Two equal regular polygons joined by rectangles.
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Dimensions
Results
volume V
surface area S
Formulas
Every slice parallel to the base is a copy of the base, so the volume is base area times height (Cavalieri’s principle).
Checked: the V, S formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.
Topology lens
Topologically a ball. With n sides to the base: V = 2n, E = 3n, F = n + 2, so V − E + F = 2 for every n. More on the lens.