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posted by  Echoes on 11/28/2008 1:48:24 AM  |  status: Live  

Frustum pyramid, confusing me! Will rate lifesaver. Need help!

Course Textbook Chapter Problem
Calculus Calculus: Early Transcendentals (6th) by Stewart 6.2 N/A
Question Details:
Consider the solid S described below.
A frustum of a pyramid with square base of side b = 5, square top of side a = 3, and height h = 4.
Find the volume V of this solid.
V =

What happens if a = b? (Enter your answer in terms of b and h.)
We get a rectangular solid with volume V =  .

What happens if a = 0? (Enter your answer in terms of b and h.)
We get a with volume V =  .
 
Hey guys, could you help me calculate the volumes on this one? For some reason I don't think I understand how to translate from the regular volume to a = b and to a = 0... and I'm really not following on how to enter it.. Any help would be greatly appreciated!
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Oracle
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posted by illusion on 11/28/2008 12:54:20 PM  |  status: Live
Asker's Rating: Helpful   
Echoes's comment:
"Hey Illusion, for some reason none of that worked... We are using integration and usually use the shell method for this.. If that helps any.. Also, I'm not for sure if this is the same as a pyarmid's area.. Any more help will get lifesaver for sure"
Response Details:
The volume of a pyramid with a square base is equal to:
 
Length_of_base * Width_of_base * Height * 1/3
 
 
if a = b.  (that means length of base = width of base ).
 
 
if a = 0.
 
Please rate me for the time it takes to help you!!! ty.
 
Did you know if you mesure the length of your arm and divide by the length of your elbow to your finger you will get
As of today in 2008, nobody in the world has found the sum of all they know is that it converges because of the p-serie theorem but they cannot find the sum.

One of my teachers, as been working on that sum for about 5 years now, he found a concret answer (he ended up creating an instrument of that serie called ''tritare'' its pretty cool) but he has not found a mathematical expression to express it.
 
For more info:
 
 
My pic is the instrument called Tritare.
 
Pupil
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posted by Echoes on 11/28/2008 5:33:03 PM  |  status: Live
Asker's Rating: N/A-Posted by Person Asking Question   
Response Details:
Illusion,
 
I actually got the volume to be 196/3 when I used the formula  but from there, I can not figure out what the formula would be when A = B. Would it be ) ? That didn't work when I entered it
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