Question 1183488
.
A square base box has a volume of 200 cm^3, find the dimensions if the height is 3 cm more than the length
~~~~~~~~~~~~~~~~~~~~~~



<pre>
According to the condition, for the squared base side x, we have this cubic equation


    x^2*(x+3) = 200   cubic units (the volume).



One solution is easy to guess:  x = 5.


Now, since the left side of the equation is monotonically increasing function, this solution x = 5 is UNIQUE:

there are no other solutions.


<U>ANSWER</U>.  The dimensions are 5 cm for the square base and 8 cm for the height.
</pre>

Solved.