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.
Answers
Answered by
0
Answer:
ranches this the the heat is 693 X + 6 in the height is accident 22
Answered by
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)
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