Link to us

If you think that our site could be of use to your website's visitors you can link to our site


Advertise Here

If you are interested in advertising on MathCracker.com, please follow the link below


     Calculator of the Area and Volume of Pyramid


Instructions: Enter the side \(l\) and the height \(h\) of a square pyramid and the units (cm, mt, ft, etc) and the solver will compute the corresponding surface area and volume of the given square pyramid.

Type the side of the side of the base \(l\) =    

Type the height of the pyramid \(h\) =    

Unit:   






More About the Pyramid

In order to compute the surface area and volume of square pyramid with side \(l\) and height \(h\) we use the following formulas:

\[ \text{Area} = l^2 + 2l\sqrt{\frac{l^2}{4} + h^2}\] \[ \text{Volume} = \frac{l^2 h}{3} \]

Computationally speaking, it is quite simple to compute the surface area and the volume of a square pyramid, by simply plugging the side \(l\) and height \(h\) in the above formulas. For example, if the side is \(l = 3\) and the height is \(h = 4\), we compute

\[ \text{Area} = l^2 + 2l\sqrt{\frac{l^2}{4} + h^2} = 3^2 + 2\cdot 3\sqrt{\frac{3^2}{4} + 4^2} = 34.632 \] \[ \text{Volume} = \frac{l^2 h}{3} = \frac{3^2\cdot 4}{3} = 12 \]

which completes the calculation \(\Box\)



Get solved Math Problems, Math Cracks, Tips and Tutorials delivered weekly to your inbox

* indicates required




In case you have any suggestion, please do not hesitate to contact us.