SOLUTION: A container with a square base, vertical sides,
and open top is to be made from 1000 ft2 of material.
(a) Write an equation for the volume of the con-
tainer as a function of t
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Question 388733: A container with a square base, vertical sides,
and open top is to be made from 1000 ft2 of material.
(a) Write an equation for the volume of the con-
tainer as a function of the length of a side of
the base.
(b) Write an equation for the volume of the con-
tainer as a function of the length of the ver-
tical side
I can do part (a) but I am stuck on (b), Help would be greatly appreciated. Thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(a)
The square base can be any size, so I'll call
the sides of the base .
I want the ft2 of material to be a
square also, so the sides of the container will
all be the same height .
that means each side of the material will be
ft2
I'll place the ft2 base exactly in the center.
That means the 4 sides will measure by
Let = volume
Is this what you got?
(b)
I'll call the length of the vertical side
Ok, now I can say that
Now I just have to find in terms of ,
so I go back to
Now I can say
Check answer:
Suppose
That would mean
The equation gives me:
same answer
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