Multiple choice

A rectangular block is heated from $0^oC$ to $100^oC$. The percentage increase in its length is $0.2%$.The percentage increase in its volume is:

  1. $0.6\%$
  2. $0.10\%$
  3. $0.2\%$
  4. $0.4\%$
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A Correct answer
Explanation

For small changes, the percentage change in volume of a rectangular block is approximately 3 times the percentage change in length (dV/V = 3 * dL/L). 3 * 0.2% = 0.6%.

AI explanation

The volume of a rectangular block is the product of its length, width, and height, meaning volume scales by the cube of its linear dimensions. For a very small percentage change, the percentage increase in volume is approximately three times the percentage increase in length. Multiplying the linear expansion of 0.2 percent by 3 gives 0.6 percent.

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