Problem

The base of a solid S is the triangle enclosed by the line x, plus, y, equals, 1, the x-axis, and the y-axis. Cross-sections perpendicular to the x-axis are isosceles right triangles with the hypotenuse lying in the base.
Determine the exact volume of solid S.
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
Do 4 problems