Multiple choice

The area of the base of a rectangular solid is tripled. What is the percent increase in its volume?

  1. 200%

  2. 300%

  3. 600%

  4. 800%

  5. 900%
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A Correct answer
Explanation

Volume = Base Area * Height. If base area is tripled (3A), the new volume is 3A * H = 3 * (A * H). The increase is 3V - V = 2V, which is a 200% increase.

AI explanation

The volume of a rectangular solid is the product of its base area and its height. If the original volume is V = B * h, the new volume becomes 3B * h = 3V when the base is tripled. The volume increases from V to 3V, resulting in a percent increase of ((3V - V) / V) * 100 = 200%.

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