A box in the shape of a rectangular prism has a volume of #6x^3+27x^2-15x#. What are the dimensions of the box?

1 Answer
Noah G
May 9, 2018

The box measures #3x# by #2x- 1# by #x + 5#.

Explanation:

We can immediately factor out a #3x#.

#3x(2x^2 + 9x - 5)#

Let's try and factor the trinomial now.

#3x(2x^2 + 10x - x - 5)#

#3x(2x(x + 5) - (x + 5))#

#3x(2x - 1)(x + 5)#

Therefore, the box measures #3x# by #2x- 1# by #x + 5#.

Hopefully this helps!

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