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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CAT Formulas
Indefinite Integration
Volume of a Solid with Equilateral-Triangle Cross-Sections
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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