For this case we have the following equation for the volume:
Rewriting the equation we have:
We factor the equation to find the roots of the polynomial.
We have then:
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
The height is:
The width is:
Thus, the dimensions are:
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.