Write a function for the volume of the open-top box ( the box has a width x from a 10cm by 8cm piece of cardboard and the resulting edges are f olded up to form an open top box)

I got this... : f(x)=x(8-2x)(10-2x)
But what would be the domain of this function? explain.

Question

Write a function for the volume of the open-top box ( the box has a width x from a 10cm by 8cm piece of cardboard and the resulting edges are f olded up to form an open top box)

I got this... : f(x)=x(8-2x)(10-2x)
But what would be the domain of this function? explain.

anonymous · Answer

can you have a box with a negative side length or height?

jhannybean · Answer

no.

anonymous · Answer

no

anonymous · Answer

so x(8-2x)(10-2x) > 0

jhannybean · Answer

|dw:1369804296762:dw|

jhannybean · Answer

V= 4xh+x^2 i believe.1 base, 4 sides. sides = x*h and base= x^(2)

dumbcow · Answer

domain:
 0< x <4

|dw:1369804675560:dw|
since width is 8, the most you can fold up on either side is 4

jhannybean · Answer

nooooo Volume = L*w*h = x^2*h right Dumbcow? :\

jhannybean · Answer

(trying to correct my SA equation) -_-

anonymous · Answer

how s it that

dumbcow · Answer

@Jhannybean , butterflyprincess posted correct Volume equation

anonymous · Answer

yea I got f(x)=x(8-2x)(10-2x)
so you solve to see what makes y 0

anonymous · Answer

so I got 0,4,5

anonymous · Answer

how come it cant be 5

dumbcow · Answer

right but 5 doesnt make sense because width of 1 side is only 8

anonymous · Answer

what do you mean.. ?

dumbcow · Answer

well "x" is the height of box formed by folding up the sides all around the box|dw:1369805571426:dw|
obviously there is only so much you can fold up