contestada

The volume, of a rectangular solid with length L, width W, and height H is given by the formula V = LWH.
Use this formula to write a polynomial in standard form that models, or represents, the volume of the open box.
The volume of the open box is ____

The volume of a rectangular solid with length L width W and height H is given by the formula V LWH Use this formula to write a polynomial in standard form that class=

Respuesta :

elcharly64

Answer:

[tex]V(x) = 4x^3-34x^2+66x[/tex]

Step-by-step explanation:

Polynomials

We'll apply the polynomials to geometry.

The volume of a rectangular box can be calculated as

V = LWH

Where L is the length, W is the width, and H is the height of the box.

The figure shows the three dimensions as a function of the variable x:

W = 6 - 2x

L = 11 - 2x

H = x

Substituting in the formula of the volume:

[tex]V(x) = (11-2x)(6-2x)(x)[/tex]

Multiplying the first two factors:

[tex]V(x) = (66-22x-12x+4x^2)(x)[/tex]

Simplifying:

[tex]V(x) = (66-34x+4x^2)(x)[/tex]

Multiplying by x:

[tex]V(x) = 66x-34x^2+4x^3[/tex]

Reordering:

[tex]\boxed{V(x) = 4x^3-34x^2+66x}[/tex]

Otras preguntas