Question 1206965
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The volume of pyramid A is<br>
{{{V=(1/3)(B)(h)=(1/3)(14^2)(6)=2*196=392}}}<br>
{{{3136/392=8}}}<br>
The volume of pyramid B is 8 times AS LARGE AS the volume of pyramid A.<br>
However, the question asks how many times the volume of pyramid B is BIGGER THAN the volume of pyramid A.<br>
Grammatically, 8 times AS LARGE AS is the same as 7 times LARGER THAN; so the grammatically correct answer is 7.<br>
ANSWER: 7 times BIGGER, or 700%<br>
Note: If this problem comes from a textbook or a worksheet, it is very likely that the given correct answer is 8.  However, with the way the question is worded, 8 is not the correct answer.<br>
Unfortunately, in sloppy everyday usage, "3 times larger than" and "3 times as large as" are used to mean the same thing -- but they do not. "3 times LARGER THAN" means the number has GROWN by 300%, which makes it 4 times AS LARGE.<br>
Because of this sloppy everyday usage, NO MATH PROBLEM SHOULD EVER USE A PHRASE LIKE "3 TIMES LARGER THAN".<br>
It is almost certain that, when you see that phrase in a math problem, the author of the problem really meant 3 TIMES AS LARGE AS.<br>