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Square Pyramid Calculator
This calculator finds the missing value of a square pyramid given exactly two known dimensions. The 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.
working...
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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