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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
$e$ =
$r$ =

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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