Square Pyramid Calculator

This pyramid calculator computes side, height, apothem, lateral edge, volume and surface area. Also, the calculator writes a step-by-step explanation on how to find the solution.

Square pyramid

Input any two elements of a pyramid and select a variable to find.
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Solve for

0123456789/.√C ✖

Input one element of a cube.

side

a =

height

h =

slant height

s =

lateral edge

e =

base radius

r =

base diagonal

d =

volume

V =

total area

A =

base area

B =

lateral surface

L =

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Square Pyramid formulas

Square pyramid drawing displaying sides, edges, heights and radius.

V = \frac{a ^{2} h}{3}

volume

A_{ba se} = a^{2}

base area

A_{l a t} = 2 \times a \times h

lateral area

A_{t o t} = A_{ba se} + A_{l a t er a l}

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

ex 1:

The height of a square pyramid is 25, and its base area is 81. Determine the total surface area.

ex 2:

Find the total surface area of the square pyramid with a height of 8cm and a length of 12 cm.

ex 3:

Find the volume of the square pyramid with a height of 12cm and a lateral edge of 13cm.

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