Number of posts : 163 Age : 27 Location : Pleasanton, CA Registration date : 2008-08-13
Subject: Simple Problem: Thu Aug 21, 2008 10:02 am
One cube has a volume of 343 cubic centimeters. The edge length of a second cube is three times the edge length of this first cube. What is the positive difference between the volume of the second cube and the volume of the first cube, in cubic centimeters?
Source: 2006 State Chapter Mathcounts
isabella2296 Admin
Number of posts : 45 Location : You'd really like to know, wouldn't you? Registration date : 2008-08-16
Subject: Re: Simple Problem: Thu Aug 21, 2008 1:06 pm
This means that the cube has a side length of 7. 21^3 - 7^3 = 8918.
Haha, you stole this from FTW.
AIME15 Hardcore TMF user
Number of posts : 163 Age : 27 Location : Pleasanton, CA Registration date : 2008-08-13
Subject: Re: Simple Problem: Thu Aug 21, 2008 1:59 pm
I actually got it from looking at old MC.
A chord of the larger circle of two concentrics circles is tangent to the smaller ( inner ) circle and measures 14 inches. The number of square inches in the area outside the smaller circle and inside the larger circle can be expressed as x PI . Find x.
pythag011 School Math Nerd
Number of posts : 15 Registration date : 2008-08-17
Subject: Re: Simple Problem: Thu Aug 21, 2008 2:19 pm
x = 49. Why?
Because, Using pythagorean thereom, we get a^2 - b^2 = 49, and by ares, x = 49.
BTW, does any want to make this a Geometry Marathon?
isabella2296 Admin
Number of posts : 45 Location : You'd really like to know, wouldn't you? Registration date : 2008-08-16
Subject: Re: Simple Problem: Tue Aug 26, 2008 11:40 am
I deleted it.
Prove that if a triangle has the same lengths as a right triangles(e.g., 3-4-5) then it must be a right triangle too.
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