Cube

Written by Jerry Ratzlaff on . Posted in Solid Geometry

  • cube 2cube 3A three-dimensional figure that is a regular polyhedron with square faces.
  • All edges are the same length.
  • All faces are squares
  • 4 base diagonals
  • 8 face diagonals
  • 4 space diagonals
  • 2 bases
  • 12 edges
  • 4 side faces
  • 8 vertexs

Base Area of a Cube formula

\(\large{ A_b = a^2 }\)

Where:

\(\large{ A_b }\) = area

\(\large{ a }\) = edge

Edge of a Cube formula

\(\large{ a =   \sqrt { \frac { A_s } { 6 } } }\)

\(\large{ a = V^{1/3} }\)

\(\large{ a =   \sqrt { 3 }  \; \frac { D } {3}   }\)

Where:

\(\large{ a }\) = edge

\(\large{ A_s }\) = area

\(\large{ V }\) = volume

\(\large{ D }\) = space diagonal

Space Diagonal of a Cube formula

\(\large{ D = \sqrt {3} \;a   }\)

Where:

\(\large{ D }\) = space diagonal

\(\large{ a }\) = edge

Surface Area of a Cube formula

\(\large{ A_s = 6\;a^2 }\)

Where:

\(\large{ A_s }\) = area

\(\large{ a }\) = edge

Volume of a Cube formula

\(\large{ V =   a^3 }\)

Where:

\(\large{ V }\) = volume

\(\large{ a }\) = edge

 

Tags: Equations for Volume