SOLUTION: The dimensions of a rectangular box are consecutive integers. If a box has volume of 13,800 cubic centimeters, what are its dimensions?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The dimensions of a rectangular box are consecutive integers. If a box has volume of 13,800 cubic centimeters, what are its dimensions?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1132557: The dimensions of a rectangular box are consecutive integers. If a box has volume of 13,800 cubic centimeters, what are its dimensions?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Consider  root%283%2C13800%29.  It is  23.99 (approximately; correct with 2 decimal places).


Hence, the middle of the three consecutive integers is 24.



So, the integers are  23, 24 and 25.



Answer.  The dimensions of the box are  23, 24 and 25 units.


CHECK.   The volume of the box with edge dimensions 23, 24, 25  is  23*24*25 = 13800 cubic units.    ! Correct !