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Right Rectangular Prism

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  • rectangular prism 2Right rectangular prism (a three-dimensional figure) has six faces that are rectangles with equal sides and equal angles also called a right square prism.
  • Diagonal is a line from one vertices to another that is non adjacent.
  • 2 bases
  • 12 edges
  • 4 side faces
  • 8 vertexs
  • 4 base diagonals
  • 8 face diagonals
  • 4 space diagonals

Right Rectangular Prism Index

 

right rectangular prism 1

Diagonal of a Right Rectangular Prism formula

Diagonal is a line from one vertices to another that is non adjacent.
\(\large{ D' = \sqrt {a^2 + b^2 + h^2} }\) 
Symbol English Metric
\(\large{ D' }\) = space diagonal \(\large{ in }\) \(\large{ mm }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)

 

 

right rectangular prism 1

Edge of a Right Rectangular Prism formulas

\(\large{ a = \frac { V }   {b\;h }   }\) 

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

\(\large{ b = \frac { V }   {a\;h }   }\) 

\(\large{ b = \sqrt {D'^2 - h^2 - a^2} }\)
Symbol English Metric
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ D' }\) = space diagonal \(\large{ in }\) \(\large{ mm }\)
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)

 

right rectangular prism 1

Height of a Right Rectangular Prism formulas

\(\large{ h = \frac { V }   {a\;b }   }\) 

\(\large{ h = \sqrt {D'^2 - b^2 - a^2} }\) 
Symbol English Metric
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ D' }\) = space diagonal \(\large{ in }\) \(\large{ mm }\)
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)

 

right rectangular prism 1

Surface Area of a Right Rectangular Prism formula
\(\large{ A_s = 2\; \left( a\;b + a\;h +b\;h \right) }\) 
Symbol English Metric
\(\large{ A_s }\) = surface area (bottom, top, sides) \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height  \(\large{ in }\)  \(\large{ mm }\) 

 

right rectangular prism 1

Volume of a Right Rectangular Prism formula
\(\large{ V= a\;b\;h }\) 
Symbol English Metric
\(\large{ V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Volume Solid Prism

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