SOLUTION: Pyramid A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in3. How many times bigger is the volume of pyramid B th

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Question 1202204: Pyramid A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in3. How many times bigger is the volume of pyramid B than pyramid A?

Found 2 solutions by math_tutor2020, greenestamps:
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

V = volume of a pyramid
V = (1/3)*(area of the base)*(height)
V = (1/3)*(9^2)*(4)
V = 108 cubic inches is the volume of pyramid A

Divide the volumes of the two pyramids
B/A = 8100/108 = 75

Pyramid B has a volume 75 times that of pyramid A's volume

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

The response from the other tutor shows correct calculations; but in fact his final answer is not the answer the problem asks for.

It is true, as that tutor says, that the volume of the larger pyramid is 75 times AS LARGE AS the smaller pyramid. But the question that is asked is how many times the volume of the larger pyramid is GREATER THAN the volume of the smaller pyramid. That answer is 74.

The problem here is that "x times as large as" and "x times larger than" are sloppily used in everyday language to mean the same thing; but they mean different things.

If one number is x, then the number 5 times AS LARGE AS x is 5 times x, or 5x.

But if one number is x, then the number 5 times LARGER THAN is x, plus 5 times x, which is x + 5x = 6x.