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| | The New Kid Join Date: Aug 2007
Posts: 17
|  Help, again :
09-06-2007
The Length, width, and height of a rectangular box are consecutive integers, and the largest dimension is k cm. Find the volume V of the box.
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 | | | Beats up Foreign Ex Students Join Date: Aug 2007 Location: Three Oh Three
Posts: 2,032
|
09-07-2007
Quote:
Originally Posted by Llama  The Length, width, and height of a rectangular box are consecutive integers, and the largest dimension is k cm. Find the volume V of the box. | Okay. Think of it this way, if an integer is a whole number, the largest value is the variable k, and each of the integers are consecutive....
To find the volume of the box, you multiply the legth x width x height. So, seeing as k is our largest value and everything is consecutive, k(k - 1)(k - 2)=V We need to factor this expression into simplest form (k2 - k)(k - 2)=V Now F.O.I.L. (First, Outer, Inner, Last) (k3- 2k2 - k2 + 2k)=V Add like terms
( k3- 3k2+ 2k)=V
That is the most condensed form of the equation. If she wants it to be a parabolic equation just factor out an k from equation #4. Any questions IM me or PM me.
YZFRydn |
| | | Freshman Bully Join Date: Jun 2007 Location: ha.
Posts: 1,085
|
09-07-2007
Quote:
Originally Posted by YZFRydn Okay. Think of it this way, if an integer is a whole number, the largest value is the variable k, and each of the integers are consecutive....
To find the volume of the box, you multiply the legth x width x height. So, seeing as k is our largest value and everything is consecutive,
k(k - 1)(k - 2)=V We need to factor this expression into simplest form
(k2 - k)(k - 2)=V Now F.O.I.L. (First, Outer, Inner, Last)
(k3- 2k2 - k2 + 2k)=V Add like terms
(k3- 3k2+ 2k)=V
That is the most condensed form of the equation. If she wants it to be a parabolic equation just factor out an k from equation #4. Any questions IM me or PM me.
YZFRydn | I concur.
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| | | I hand out detentions. Join Date: Feb 2007 Location: Shmads of a Down
Posts: 1,451
|
09-07-2007
Quote:
Originally Posted by YZFRydn Okay. Think of it this way, if an integer is a whole number, the largest value is the variable k, and each of the integers are consecutive....
To find the volume of the box, you multiply the legth x width x height. So, seeing as k is our largest value and everything is consecutive,
k(k - 1)(k - 2)=V We need to factor this expression into simplest form
(k2 - k)(k - 2)=V Now F.O.I.L. (First, Outer, Inner, Last)
(k3- 2k2 - k2 + 2k)=V Add like terms
(k3- 3k2+ 2k)=V
That is the most condensed form of the equation. If she wants it to be a parabolic equation just factor out an k from equation #4. Any questions IM me or PM me.
YZFRydn |
Great post, dawg. |
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