SOLUTION: an open rectangle box with a length of 12 and a width of 9. the corners are cut out of the rectangle and the flaps are used to make an open, square box. list the length as a fu

Question 192795: an open rectangle box with a length of 12 and a width of 9. the corners are cut out of the rectangle and the flaps are used to make an open, square box.
list the length as a function of x. f(x)=.....
list the width as a function of x. f(x)=....
list the equation for the volume as v(x)=....
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
an open rectangle box with a length of 12 and a width of 9. the corners are cut
out of the rectangle and the flaps are used to make an open, square box.
:
Let x = side of the corner cut-out
:
list the length as a function of x. f(x)=..L...
L = 12 - 2x
:
list the width as a function of x. f(x)=..W..
W = 9 - 2x
:
list the equation for the volume as v(x)=..V..
v = x(12-2x)(9-2x)
v = x(108 - 42x + 4x^2)
v = 4x^3 - 42x^2 + 108x
RELATED QUESTIONS
A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by Earlsdon)

A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by ankor@dixie-net.com)

A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by scott8148,ankor@dixie-net.com)

a rectangular piece of cardboard is 4 inches longer than it is wide. From each of its... (answered by stanbon)

A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by josgarithmetic)

From a 17-inch-by-12-inch piece of cardboard, 2.5-inch-square corners are cut out, as... (answered by richwmiller)

From a 12-inch-by-16-inch piece of cardboard, 0.5-inch-square corners are cut out, as... (answered by checkley77)

A rectangular piece of metal is 15 inches longer than it is wide. Square with sides 3... (answered by josgarithmetic)

A rectangular piece of cardboaard is 2 units longer than it is wide. From each of its... (answered by solver91311)