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Is the equation "0 <= x <= 3, 0<= y <= 4, 0 <= z <= 5" for a cuboid?

  1. Aug 31, 2014 #1
    1. The problem statement, all variables and given/known data
    Sketch the following volume and find the area.


    2. Relevant equations
    0 <= x <= 3, 0<= y <= 4, 0 <= z <= 5


    3. The attempt at a solution
    The notation is confusing me. Is the equation simply representing a cuboid?
     
  2. jcsd
  3. Sep 1, 2014 #2

    haruspex

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    If that's all the info you are given, yes.
     
  4. Sep 1, 2014 #3

    HallsofIvy

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    That's not "an equation", it's three different inequalities. The first, [itex]0\le x\le 3[/itex] means all points (x, y, z) such that the component, x, is between 0 and 3. That region is bounded by the two planes x= 0 and x= 3.
    Similarly [itex]0\le y\le 4[/itex] defines a region bounded by the planes y= 0 and y= 4. Finally, [itex]0\le z\le 5[/itex] defines the region bounded by the planes z= 0 and z= 5. Those 6 planes form the 6 sides of a rectangular solid or cuboid.
     
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