HomeMathematicsGeometrySolid GeometryRight Square Prism
Print

Right Square Prism

on . Posted in Solid Geometry

  • square prism 2right square prism 1Right square prism (a three-dimensional figure) has square bases, four faces that are rectangles with equal sides and equal angles.
  • Diagonal is a line from one vertices to another that is non adjacent.
  • 1 base
  • 12 edges
  • 5 faces
  • 8 vertexs
  • 2 base diagonals
  • 10 face diagonals
  • 4 space diagonals

Right Square Prism Index

 

Base Area of a Right Square Prism formula
\(\large{ A_b = a^2 }\) 
Symbol English Metric
\(\large{ A_b }\) = base area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)

  

Diagonal of a Right Square Prism formula
\(\large{ D' = \sqrt {2\;a^2 + h^2} }\) 
Symbol English Metric
\(\large{ D' }\) = space diagonal \(\large{ in }\) \(\large{ mm }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)

  

Edge of a Right Square Prism formulas

\(\large{ a = \frac {1} {2}  \; \sqrt {2\;D'^2 + 2\;h^2} }\) 

\(\large{ a = \frac {1} {2} \;  \sqrt {4\;h^2 + 2\;A_s}\; -h }\) 

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

 

Height of a Right Square Prism formulas

\(\large{ h = \frac {A_s} {4\;a} - \frac {a} {2} }\) 

\(\large{ h = \sqrt {D'^2 + 2\;a^2} }\) 
Symbol English Metric
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ D' }\) = space diagonal \(\large{ in }\) \(\large{ mm }\)
\(\large{ A_s }\) = surface area \(\large{ in^2 }\) \(\large{ mm^2 }\)

 

Surface Area of a Right Square Prism formula
\(\large{ A_s= 2\;a^2 + 4\;a\;h }\) 
Symbol English Metric
\(\large{ A_s }\) = surface area (bottom, top, sides) \(\large{ in^2 }\)  \(\large{ mm^2 }\) 
\(\large{ a }\) = area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)

 

  Volume of a Right Square Prism formula
\(\large{ V=a^2\;h }\) 
Symbol English Metric
\(\large{ V }\) = volume \(\large{ in }\) \(\large{ mm }\)
\(\large{ a }\) = edge \(\large{ in }\) \(\large{ mm }\)
\(\large{ h }\) = height \(\large{ in }\) \(\large{ mm }\)

 

Piping Designer Logo 1

Latest Articles