SOLUTION: The volume of a cube is 2744 m 3 . What is the length of an edge of the cube?

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Question 1149136: The volume of a cube is 2744 m 3
. What is the length of an edge of the cube?

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

It is    = 14 meters.



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




Given V = 2744,


Use a calculator if needed.

Alternatively, you can find the answer with a little bit of estimation and logical reasoning.

(1) The answer is PROBABLY a whole number.
(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.
(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

So 14 is the PROBABLE answer; confirm it with a calculator.


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