# Volume of Described Solid

1. Oct 14, 2013

### Nicolaus

1. The problem statement, all variables and given/known data

The base of S is the triangular region with vertices (0, 0), (5, 0), and (0, 5). Cross-sections perpendicular to the y-axis are equilateral triangles.
Find V of described triangle.
2. Relevant equations

3. The attempt at a solution
I first wrote the equation of the line in terms of x (x = 4-y), which is the base. Since we are dealing with an equilateral triangle the area of the cross section would be A(y)= ((4-y)^2)/2 and so the integral to calculate the volume is A(y)dy from 0 to 4.
Since I am arriving at the supposedly wrong answer, what am I missing?

2. Oct 14, 2013

### Staff: Mentor

I don't see where your equation comes from. What's the equation of the line between (5, 0) and (0, 5)?

3. Oct 14, 2013

### Nicolaus

It's a typo; meant 5-y. I figured out the problem. Thanks for your interest in helping.

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