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@@ -516,11 +516,10 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
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<h3style="font-size:160%;margin:7px;">Volume of a pyramid</h3>
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<pstyle="margin:12px;">The commonly used base × height / 3 approximation for the volume of a pyramid was likely estimated based on two observations.
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That makes the ratio between the mid-height cross-sectional area of the pyramid, and the difference between the mid-height cross-sectional areas of the circumscribed solid and the pyramid
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<pstyle="margin:12px;">That is a logical consequence of its equilateral triangular cross-section.
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The same is true for regular pyramids.
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The same is true for a cone.
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Can this ratio can be generalized for the overall volume of any cone and pyramid?
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No. Because it's not true in case of most other shapes.
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<pstyle="margin:12px;">The other idea is the cube dissection.
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<pstyle="margin:12px;">A common method aiming to prove the pyramid volume formula ( V = base × height / 3 ) involves dissecting a cube into three pyramids. Here’s how it’s typically presented:
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Take a cube with an edge length of ( e ).
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Also it's not just about the vertices, but the edges and the inner faces, too.
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