In a rectangular piece of cardboard with perimeter 30 in., two
parallel and equally spaced creases are made. The cardboard is then
folded to make a prism with open ends that are equilateral triangles.

a.) Show that the volume of the prism is V(x) = (square root of 3
divided by four then multiplied by x squared) multiplied by (15-3x).

b.) What is the domain of V?

c.) Find the approximate value of x that maximizes the volume. Then
give the approximate maximum volume.

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Clarification of Question by sinco-ga on 14 Nov 2002 04:11 PST

I figured it out. Thanks for trying to help.

I do not think this is really a $2.00 question.

agree with rbnn this is more than a $2 question, it looks suspiciously
like a homework question though...

oso by the way, you have not stated what x is supposed to represent,
and i can immediately tell you the volume of the prism is more like =
1/2x multiplied by Root of (3/4 x-squared) multiplied by (15-3x)...
this is if you are assuming x represents the length on one side of the
equilateral triangle.

I'll leave it to you to figure out the rest as its good for your
education 8-)

There's no problem with posting $2 homework questions on Google
Answers. I suggest you let the market decide whether or not this
question is answered.