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Homework Help: Computing Volume from Cross-Sectional Area

  1. Dec 4, 2007 #1
    1. The problem statement, all variables and given/known data
    A house attic has rectangular cross sections parallel to the ground and triangular cross sections perpendicular to the ground. The rectangle is 30 feet by 60 feet at the bottom of the attic and the triangles have base 30 feet and height 10 feet. Compute the volume of the attic.

    2. Relevant equations

    3. The attempt at a solution

    I know how to solve this once it is set up as an integral, but I am having trouble setting up the integral itself.
  2. jcsd
  3. Dec 4, 2007 #2


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    Science Advisor

    An integral is overkill. Think of slicing the attic into triangular slabs, each one foot thick. What is the volume of each slab? How many slabs are there?
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