History of Volume of the Platonic solids

+Title: Volume of the Platonic solids+Definition: This table lists the volumes of the Platonic solids CITE{Wiki} given that+  either the edge length $a$ equals $1$, the inner radius $r$ equals $1$, the midradius+  $\rho$ equals $1$, the outer radius $R$ equals $1$, or the surface area $A$ equals+  $1$.+Parameters:+  expression:+    display: constraint+    title: length that is constrained to be $1$+    type: Symbolic+  solid:+    display: solid+    title: Platonic solid+    type: Symbolic+Comments:+  comment-algebraic: All numbers in this table are algebraic numbers.+Formulas: {}+Programs: {}+References: {}+Links:+  Wiki:+    title: 'Wikipedia: Platonic solid'+    url: https://en.wikipedia.org/wiki/Platonic_solid+Similar tables: ''+Keywords: ''+Tags:+- elementary geometry+- algebraic+- volume+- trigonometry+- discrete geometry+Data properties:+  type: R+  complete: 'yes'+Display properties:+  number-header: Volume+Numbers:+  unit-a:+    param-latex: $a = 1$+    numbers:+      tetrahedron: '0.117851130197757920733474060350808173214139322948079006098056644832561039871842253237532294527303464'+      cube: '1'+      octahedron: '0.471404520791031682933896241403232692856557291792316024392226579330244159487369012950129178109213857'+      dodecahedron: '7.663118960624631968716053920279733412021082129320170017474070179468411619866158573975225214662868981'+      icosahedron: '2.181694990624912373503822361971365098100257649838135718446207185587717052349085374756006003491159281'+  unit-r:+    param-latex: $r = 1$+    numbers:+      tetrahedron: '13.85640646055101834821957073204697893554244203048304502444645583561546413527040029664916949405798860'+      cube: '8'+      octahedron: '6.928203230275509174109785366023489467771221015241522512223227917807732067635200148324584747028994302'+      dodecahedron: '5.550291028515510269070432113661839240737598212882498867111753863538836707333245236482938894135950218'+      icosahedron: '5.054056143598903991543281911939077361008716607978919166279275578230818425506631590101611767247194759'+  unit-rho:+    param-latex: $\rho = 1$+    numbers:+      tetrahedron: 8/3+      cube: '2.828427124746190097603377448419396157139343750753896146353359475981464956924214077700775068655283145'+      octahedron: '3.771236166328253463471169931225861542852458334338528195137812634641953275898952103601033424873710860'+      dodecahedron: '3.416407864998738178455042012387657412643710157669154345625383472463125553826829396486486450272693649'+      icosahedron: '4.120226591665965654697245562437587451468727865371752414236324151368403085459349664714714694595940916'+  unit-R:+    param-latex: $R = 1$+    numbers:+      tetrahedron: '0.513200239279667346230354471557295516131201556684557223127646512430202375380385196172191462742888466'+      cube: '1.539600717839002038691063414671886548393604670053671669382939537290607126141155588516574388228665400'+      octahedron: 4/3+      dodecahedron: '2.785163863122622967292554912735946987899321772076331992637024147416255150329106493094448513476648088'+      icosahedron: '2.536150710120409525643838222345019049081863024335333926526148385147075120227182671250114162588830351'+  unit-A:+    param-latex: $A = 1$+    numbers:+      tetrahedron: '0.051700269950116644385623263721290782652844679204314020838554250615497967444219386808420990061062401'+      cube: '0.068041381743977169394369002075163649776831874462685281345352571312526677151592084070551650919573339'+      octahedron: '0.073115222941805136712178827877611058620003810566990120929551258810881488622072340725041286124811218'+      dodecahedron: '0.081688371824182552180489780788745314462168583253664063449716812175863371880894415608116642314446936'+      icosahedron: '0.085604794077281099112044608507108382101970811474244579070359665937969671522693677832147059960628711'