Cube

Written by Jerry Ratzlaff on . Posted in Solid Geometry

 

cube 2

cube

  • 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

Edge formula

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

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

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

Where:

\(a\) = edge

\(A_s\) = area

\(V\) = volume

\(D\) = space diagonal

Space Diagonal formula

\(D = \sqrt {3} a   \)

Where:

\(D\) = space diagonal

\(a\) = edge

Base Area formula

\(A_b = a^2 \)

Where:

\(A_b\) = area

\(a\) = edge

Surface Area formula

\(A_s = 6a^2 \)

Where:

\(A_s\) = area

\(a\) = edge

Volume formula

\(V =   a^3 \)

Where:

\(V\) = volume

\(a\) = edge