2002 AMC 8 Problem 13

Attempt Problem 13 of the 2002 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

13.

For his birthday, Bert gets a box that holds 125125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert’s. Approximately, how many jellybeans did Carrie get?
250250
500500
625625
750750
10001000
Answer: E
Concepts:volumepower scaling of length, area, and volume
Small hint:
Doubling length, width, and height multiplies volume by 2⋅2⋅2.2\cdot2\cdot2.
Big hint:
Scale the number of jellybeans by the volume factor.
Solution:
The larger box will have approximately 125⋅2⋅2⋅2=1000 125 \cdot 2 \cdot 2 \cdot 2 = 1000 jellybeans.
Thus, E is the correct answer.
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