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Suppose that $x$ is a positive multiple of $3$. If $x$ cubed is less than $1000$, what is the greatest possible value of $x$?

 Apr 3, 2020
 #1
avatar+20876 
+1

The positive multiples of 3 are 3, 6, 9, 12, ...

Which of these numbers, when cubed has the largest value that is less than 1000?

 Apr 3, 2020
 #2
avatar+23562 
+1

sqrt(1000) = 31.6227      does that give you a clue?

 Apr 3, 2020

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