Volume of a Solid with Equilateral-Triangle Cross-Sections

Rarely Tested

Volume of a Solid with Equilateral-Triangle Cross-Sections

If the side of each equilateral triangle is:

$$s(x)$$

then:

$$V=\frac{\sqrt3}{4}\int_a^bs^2(x)\,dx$$

Usage

- Used when cross-sections perpendicular to the axis are equilateral triangles.

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