Calculator and formulas for calculating a square based pyramid
This function calculates the area, volume and other properties of a square pyramid.
To perform the calculation, enter the side length and height of the pyramid. Then click the 'Calculate' button.
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The following formulas refer to the calculation of a straight quadrangular pyramid
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Radius to the side | \(\displaystyle r_s=\frac{a}{2}\) |
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Radius to the vertex | \(\displaystyle r_v=\sqrt{({r_s}^2+{r_s}^2)}\) |
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Slant height | \(\displaystyle m=\sqrt{h^2+{r_s}^2}\) |
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Lateral edge length | \(\displaystyle k=\sqrt{m^2+{r_s}^2}\) |
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Slant area | \(\displaystyle A_S=\frac{m · a}{2}\) |
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Lateral Surface | \(\displaystyle A_L=\frac{m · P}{2}\) \(\displaystyle = 2 · a · \sqrt{h^2+\frac{a^2}{4}}\) |
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Base area | \(\displaystyle A=a^2\) |
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Surface area | \(\displaystyle S=A+M\) |
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Base perimeter | \(\displaystyle P=4·a\) |
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Volume | \(\displaystyle V=\frac{A · h}{3}\) |
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Height | \(\displaystyle h=\frac{3·V}{A} \) \(\displaystyle =\sqrt{m^2-{r_s}^2}\) |
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