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Area expansion due to heat

  1. Jun 27, 2012 #1
    1. The problem statement, all variables and given/known data

    This is a question from my physics book, i don't understand its solution.

    Consider a square hole in an aluminum plate (2D) . If this block is heated,
    will this hole become smaller or larger ?
    2. Relevant equations

    δL/L = β*δT


    3. The attempt at a solution

    As each of the side of the block expands (some a lttle, while the longer sides more) thus the area decreases.

    But, the answer as given by the book is that the area would increase.
    Can anyone help me understand this ?
     
  2. jcsd
  3. Jun 27, 2012 #2

    Doc Al

    User Avatar

    Staff: Mentor

    All linear dimensions will expand by the same factor, including the hole.
     
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