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
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 | \(\large{ in }\) | \(\large{ mm }\) |
Tags: Solid Pyramid