SOLUTION: Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of py
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Question 1206965: Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A?
Give your answer as a percentage. Provide an explanation and proof for your answer.
Found 3 solutions by greenestamps, MathLover1, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The volume of pyramid A is
The volume of pyramid B is 8 times AS LARGE AS the volume of pyramid A.
However, the question asks how many times the volume of pyramid B is BIGGER THAN the volume of pyramid A.
Grammatically, 8 times AS LARGE AS is the same as 7 times LARGER THAN; so the grammatically correct answer is 7.
ANSWER: 7 times BIGGER, or 700%
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.
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.
Because of this sloppy everyday usage, NO MATH PROBLEM SHOULD EVER USE A PHRASE LIKE "3 TIMES LARGER THAN".
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.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Pyramid is a square pyramid with a base side length of inches and a height of inches.
since square, base length=width, inches
Pyramid has a volume of cubic inches.
=> is times bigger than
percentage bigger = %
So, Pyramid is % bigger than Pyramid
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.
Notice that in the post by @MathLover1, the first line formula is the formula
for a cone volume, not for a pyramid volume.
It is written by mistake and is irrelevant to the given problem.
Regarding wording this post by its author/creator, this fragment "Provide a proof for your answer"
tells that the author is NOT familiar with standard mathematical formulations of Math problems.
I insistently recommend to the managers of this project to REMOVE this writer
IMMIDIATELY from his/her position in the project due to his/her illiteracy in Math.
It is extremely important to do it without delay in order for
this writer does not disgrace your esteemed organization.
///////////////////
After seeing my post, @MathLover1 corrected her mistake.
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