# SOLUTION: The volume of the box is represented by x squared plus five x plus six, times x plus five. Find the polynomial that represents the area of the bottom of the box? Height is given by

Algebra ->  Bodies-in-space -> SOLUTION: The volume of the box is represented by x squared plus five x plus six, times x plus five. Find the polynomial that represents the area of the bottom of the box? Height is given by      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Geometry: Bodies in space, right solid, cylinder, sphere Solvers Lessons Answers archive Quiz In Depth

 Question 4320: The volume of the box is represented by x squared plus five x plus six, times x plus five. Find the polynomial that represents the area of the bottom of the box? Height is given by x plus 2.Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!Volume, V = (x^2 + 5x + 6)(x + 5) Factor the trinomial. V = (x + 2)(x + 3)(x + 5) V = (H )(L)(W) Since the height of the box is given as: (x + 2), then the length and width of the base must be: (x + 5) and (x + 3) Area of the base = (L)(W) = (x + 5)(x + 3) = x^2 + 8x + 15 So, Area of base = x^2 + 8x + 15