SOLUTION: You construct an open box with a square base (see figure) from 189 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? (Hint: The surf

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: You construct an open box with a square base (see figure) from 189 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? (Hint: The surf      Log On


   

Question 1123176: You construct an open box with a square base (see figure) from 189 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? (Hint: The surface area is S = x2 + 4xh.)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If x is the base length, h is 3, then
189=x%5E2%2B4%2A3%2Ax
189=x%5E2%2B12x
x%28x%2B12%29=189
and you could try to find two factors differing by 12 whose product is 189.

highlight%28x=9%29
Boxes dimensions are 9 by 9 by 3.