2018 AMC 8 Problem 25
Attempt Problem 25 of the 2018 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
25.
How many perfect cubes lie between and inclusive?
Answer: E
Small hint:
A perfect cube in the interval has the form .
Big hint:
Compare the bounds to and .
Video solution:
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Written solution:
Because and , the smallest cube in the interval is . Also, , so the largest cube is .
The integer cube roots are therefore , a total of .
Thus, E is the correct answer.
Problem 25 in other years
- 1985 AMC 8
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