Triangle Proportions: A DiagramDate: 05/06/2003 at 22:11:32 From: Brandon Subject: Finding the length of a side of a cube inside a cone A cone has a circular base radius 1, and vertex of height 3 directly above the center of the circle. A cube has four vertices in the base and four on the sloping sides. What is the length of a side of the cube? Answer to 5 decimal places. Acircle = pi r squared Acircle = 3.1416 v = 1/3 AB H v = 1/3 x 3.1416 x 3 Vcone = 3.1416 Date: 05/07/2003 at 08:54:18 From: Doctor Luis Subject: Re: Finding the length of a side of a cube inside a cone Hi Brandon, You don't need to find the volume or area of anything in this problem. Rather, you just use the theory of proportions. Since a picture is worth a thousand words, here's a diagram: I hope this helped! Let us know if you have any more questions. - Doctor Luis, The Math Forum http://mathforum.org/dr.math/ |
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