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θ = tan-1(h/r) × 180/π = side face angle Calculator UseThis online calculator will calculate the various properties of a square pyramid given 2 known variables. The square pyramid is a special case of a pyramid where the base is square. It is a regular pyramid since it has a square base which is a regular polygon. This is also a right square pyramid where "right" refers to the fact that the apex lies directly above the centroid of the base. In other words the point at the top of the pyramid is directly above the center point of the square base. Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2. NAN: means not a number. This will show as a result if you are using values that just do not make sense as reasonable values for a pyramid. Below are the standard formulas for a pyramid. Calculations are based on algebraic manipulation of these standard formulas. Square Pyramid Formulas derived in terms of side length = a and height = h:Volume of a Square PyramidSlant Height of a square pyramid
Lateral Surface Area of a square pyramid (× 4 isosceles triangles)
Base Surface Area of a square pyramid (square)Total Surface Area of a square pyramid
Slope of Pyramid Side Face
Angle of Pyramid Side Face
Square Pyramid Calculations:Other formulas for calculations are derived from the formulas above. ReferencesWeisstein, Eric W. "Square Pyramid." From MathWorld--A Wolfram Web Resource. Square Pyramid. |