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Pyramid calculator

Enter two values of a square pyramid and select what to find. The calculator gives a step-by-step solution on how to find the missing value.

Square Pyramid Calculator
input two values of a square pyramid and select what you want to find
show help ↓↓ examples ↓↓
I want to find:
Enter values in two text boxes
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
side
$ a $ =
 
height
$ h $ =
slant height
$ s $ =
 
lateral edge
$ e $ =
base radius
$ r $ =
 
base diagonal
$ d $ =
volume
$ V $ =
 
total surface area
$ A $ =
base area
$ B $ =
 
lateral surface area
$ L $ =

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Square Pyramid formulas
$$ V = \frac{a^2 \, h }{3} $$
volume
$$ A_{base} = a^2 $$
base area
$$ A_{lat} = 2 \times a \times h $$
lateral area
$$ A_{tot} = A_{base} + A_{lateral} $$
total area
$$ r = \frac{a}{2} $$
base radius
$$ s^2 = h^2 + \frac{a^2}{4} $$
slant height
$$ e^2 = s^2 + \frac{a^2}{4} $$
lateral edge
$$ e^2 = h^2 + \frac{d^2}{4} $$
lateral edge
Square Pyramid - examples
example 1:ex 1:
The height of a square pyramid is 25, and its base area is 81. Determine the total surface area.
example 2:ex 2:
Find the total surface area of the square pyramid with a height of 8cm and a length of 12 cm.
example 3:ex 3:
Find the volume of the square pyramid with a height of 12cm and a lateral edge of 13cm.
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