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PLEASE HELP!

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Which expression can be used to determine the greatest possible volume of the cardboard box?


A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)

PLEASE HELP A company is creating a box without a top from a piece of cardboard but cutting out square corners with side length x Which expression can be used t class=

Respuesta :

Answer:

Option B

Step-by-step explanation:

Given is a rectangle with width 7 and length 11.

From each corner of the rectangle a square of length x is cut and foled to make a box

Now for the open box we made, height = x

width = rectangle width - 2 times d

= 11-2x

Length = rectangle length-2x

Hence volume of box

=lwh

= (7-2x)(11-2x)x

JeanaShupp

Answer: B) [tex](7-2x)(11-2x)x[/tex]

Step-by-step explanation:

Given: The length of the cardboard = 11 in.

The width of the cardboard =7 in.

If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-

Width (w)= [tex]7-2x[/tex]

length (l)= [tex]11-2x[/tex]

Height (h)=[tex]x[/tex]

Now, volume of rectangular box is given by :-

[tex]V=lwh\\\\\Rightarrow\ V=x(7-2x)(11-2x)[/tex]

Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-

[tex](7-2x)(11-2x)x[/tex]