Hello, coe236!

is the area bounded by: .

Suppose a solid has a base A and the cross-sections of the solid

perpendicular to the y-axis are equilateral triangles.

Sketch solid and find volume.

The base looks like this:Code:| 1| *--------+--------* | x | x * - - - + - - - * * | * * | * - - - - - * - - - - - - |

The area of an equilateral triangle with side is: .

The side of our equilateral triangle is: .

Hence, the area of the triangle is: .

Since , we have: .

Therefore, the volume is: .