Question

Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.
The first container Jamie constructs will be used to shop baseballs. It will have a width of x ft, a length of (x+6) ft and height of (x-2) ft. Its volume will be 165 ft^3. Write a function V for the volume of the container. Then find one possible width for the container. Explain.
Are there any other possible widths for the container? Explain.

Answer 1

Answer:

ranches this the the heat is 693 X + 6 in the height is accident 22

Answer 2

Answer:

V=x*(x+6)*(x-2)   Width=5ft    

Step-by-step explanation:

We know, Volume of rectangular prism=width*height*length

Here, width=x ft

Length=(x+6) ft

Height=(x-2) ft

So Volume of container here would become= x*(x+6)*(x-2)

Now we are given , volume of prism=165

A.T.Q,

so x(x+6)(x-2)=165

x³+4x²-12x-165=0

By using Factor Theorem we get one possible value of x=5 which satisfies the above equation

So one possible value of width is 5 ft.

No there is only one possible real value of x i.e width=5ft and other two values of width will be non real.(On dividing the above equation by x-5 we get non real roots of the equation)