The volume of a card board box is given by the function v(x)=x(x-1)(x+2) write a new function for the volume of a cardboard box that is 2 unit shorter in every dimension.

Respuesta :

The length of the square is equal to 1.

We have given that,

The volume of a cardboard box is given by the function v(x)=x(x-1)(x+2).

We have determined that,

Write a new function for the volume of a cardboard box that is 2 units shorter in every dimension.

What is the volume of the square?

Volume=s^3

[tex]0=x\left(x-1\right)\left(x+2\right)[/tex]

[tex]x=0\quad \mathrm{or}\quad \:x-1=0\quad \mathrm{or}\quad \:x+2=0[/tex]

[tex]x=0,\:x=1,\:x=-2[/tex]

Therefore the side of the square is x=1

x=0 and x=-2 is not the side of the square.

Because the length of the square is not negative.

Therefore the length of the square is equal to 1.

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