Volume of a regular square pyramid (from the base and height)
Calculate the volume, lateral surface area, and total surface area of a regular square pyramid using its base and height.
| Volume V | |
| Lateral Surface Area F | |
| Surface Area S | |
| Lateral height b | |
| Lateral Slope Angle Φ | Degrees |
The Great Pyramid of Khufu is set to the default values of a base of 230.4m and a height of 146.6m.
| \(\normalsize Square\ pyramid\\ (1)\ volume:\hspace{105px} V={\large\frac{1}{3}}a^2h\\ (2)\ lateral\ area:\hspace{65px} F=a\sqrt{4h^2+a^2}\\ (3)\ surface\ area:\hspace{63px} S=F+a^2\\ (4)\ height\ of\ side\ face:\hspace{20px} b=\sqrt{h^2+({\large\frac{a}{2}})^2}\\ (5)\ angle\ of\ inclination:\hspace{10px} \phi=tan^{\scriptsize{-1}}({\large\frac{2h}{a}})\\ \) |
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