Rectangular Prism

Written by Jerry Ratzlaff on . Posted in Solid Geometry

 

rectangular prism 2

rectangular prism

  • 4 base diagonals
  • 8 face diagonals
  • 4 space diagonals
  • 2 bases
  • 12 edges
  • 4 side faces
  • 8 vertexs

Edge formula

\(a = \frac { V }   {bh }   \)

\(a = \sqrt {D^2 - h^2 - b^2} \)

\(b = \frac { V }   {ah }   \)

\(b = \sqrt {D^2 - h^2 - a^2} \)

Where:

\(b\) = edge

\(V\) = volume

\(a\) = edge

\(h\) = height

\(D\) = space diagonal

Height formula

\(h = \frac { V }   {ab }   \)

\(h = \sqrt {D^2 - b^2 - a^2} \)

Where:

\(h\) = height

\(V\) = volume

\(a\) = edge

\(b\) = edge

\(D\) = space diagonal

Diagonal formula

\(D = \sqrt {a^2 + b^2 + h^2} \)

Where:

\(D\) = space diagonal

\(a\) = edge

\(b\) = edge

\(h\) = height

Surface Area formula

\(A_s = 2 \left( ab + ah +bh \right) \)

Where:

\(A_s\) = area

\(a\) = edge

\(b\) = edge

\(h\) = height

Volume formula

\(V= abh \)

Where:

\(V\) = volume

\(a\) = edge

\(b\) = edge

\(h\) = height