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Volume of Described Solid

  1. Oct 14, 2013 #1
    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. jcsd
  3. Oct 14, 2013 #2


    Staff: Mentor

    I don't see where your equation comes from. What's the equation of the line between (5, 0) and (0, 5)?
  4. Oct 14, 2013 #3
    It's a typo; meant 5-y. I figured out the problem. Thanks for your interest in helping.
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