Right Square Pyramid

• Right square pyramid (a three-dimensional figure) has a square base and the apex alligned above the center of the base.
• 1 base
• 8 edges
• 4 faces
• 5 vertexs

• Tags: Solid Pyramid

Right Square Pyramid Index

• Base Area of a Right Square Pyramid
• Edge of a Right Square Pyramid
• Height of a Right Square Pyramid
• Face Area of a Right Square Pyramid
• Lateral Surface Area of a Right Square Pyramid
• Surface Area of a Right Square Pyramid
• Volume of a Right Square Pyramid

 

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

 

Edge of a Right Square Pyramid formula
\(\large{ a = \sqrt{ 3\; \frac{V}{h}     } }\)
Symbol	English	Metric
\(\large{ a }\) = edge	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ h }\) = height	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ V }\) = volume	\(\large{ in^3 }\)	\(\large{ mm^3 }\)

 

Height of a Right Square Pyramid formula
\(\large{ h =  \frac{1}{2} \; \sqrt{ 16\; \left( \frac{A_f}{a} \right)^2 - a^2 }   }\)
Symbol	English	Metric
\(\large{ h }\) = height	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ a }\) = edge	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ V }\) = volume	\(\large{ in^3 }\)	\(\large{ mm^3 }\)

 

Face Area of a Right Square Pyramid formula
\(\large{ A_f = \frac{a}{2} \; \sqrt{\frac{a^2}{4} +h^2 } }\)
Symbol	English	Metric
\(\large{ A_f}\) = face area (side)	\(\large{ in^2 }\)	\(\large{ mm^2 }\)
\(\large{ a }\) = edge	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ h }\) = height	\(\large{ in }\)	\(\large{ mm }\)

 

Lateral Surface Area of a Right Square Pyramid formula
\(\large{ A_l = a \sqrt {a^2 + 4\;h^2 }   }\)
Symbol	English	Metric
\(\large{ A_l }\) = lateral surface area (sides)	\(\large{ in^2 }\)	\(\large{ mm^2 }\)
\(\large{ a }\) = edge	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ h }\) = height	\(\large{ in }\)	\(\large{ mm }\)

 

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

 

Volume of a Right Square Pyramid formula
\(\large{ V=  a^2\;  \frac{h}{3} }\)
Symbol	English	Metric
\(\large{ V }\) = volume	\(\large{ in^3 }\)	\(\large{ mm^3 }\)
\(\large{ a }\) = edge	\(\large{ in }\)	\(\large{ mm }\)
\(\large{ h }\) = height	\(\large{ in }\)	\(\large{ mm }\)