SOLUTION: The Volume V of a container is 61^3 in. The width, the length, and the height are x, x-2, x+3 respectively. What are the container's dimensions?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The Volume V of a container is 61^3 in. The width, the length, and the height are x, x-2, x+3 respectively. What are the container's dimensions?       Log On


   



Question 1175545: The Volume V of a container is 61^3 in. The width, the length, and the height are x, x-2, x+3 respectively. What are the container's dimensions?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The product of the dimensions is x(x^2+x-6) or x^3+x^2-6x=61
so x^+x^2-6x-61=0
x has to be at least 3
x=4.098
dimensions in in. are 4.098, 2.098, 7.098=61.02 in^3

graph%28300%2C300%2C-2%2C5%2C-10%2C50%2C+x%5E3%2Bx%5E2-6x-61%29