The strength of a tree branch is approximately proportional to its cross-sectional area while its weight is proportional to its volume. If you “scale up” a tree branch by a factor of two (double all of its linear dimensions) by what factor is its strength increased? By what factor is its weight increased?
What will be an ideal response?
Answers: Strength increases by 4
Weight increases by 8
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What will be an ideal response?
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Fill in the blank(s) with the appropriate word(s).
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