document.write( "Question 64953:  My son is trying to find the length from the top left corner to the bottom right corner of a cube.\r
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document.write( "This is something I have not been taught, and have tried to find the formula on the internet, without success.\r
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document.write( "For example, how would this be done for a cube with the dimensions 3.3m x 1.7m x 1.7m\r
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document.write( "Regards\r
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document.write( "Gordon \n" );
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| Algebra.Com's Answer #45428 by stanbon(75887)      You can put this solution on YOUR website! For example, how would this be done for a cube with the dimensions 3.3m x 1.7m x 1.7m \n" ); document.write( "------------- \n" ); document.write( "Sketch the cube so you can follow along with the following instructions. \n" ); document.write( "Find the diagonal of the base. \n" ); document.write( "The base is a 1.7m by 1.7m square. \n" ); document.write( "Use Pythagoras to find the diagonal of that base. \n" ); document.write( "Let \"d\" be the base diagonal: \n" ); document.write( "d^2=1.7^2 + 1.7^2 \n" ); document.write( "d=1.7sqrt2 \n" ); document.write( "--------- \n" ); document.write( "Now find the hypotenuse of the triangle made \n" ); document.write( "with the following sides: \n" ); document.write( "one side is the height=3.3 m \n" ); document.write( "one side is the diagonal of the base = 1.7sqrt2 \n" ); document.write( "the third side is the diagonal of the cube which you have been asked to find. \n" ); document.write( "Let the diagonal of the cube be \"D\" \n" ); document.write( "Use Pythagoras again to find \"D\": \n" ); document.write( "D^2=(3.3)^2 + (1.7sqrt2)^2 \n" ); document.write( "D^2=10.89 + 1.7sqrt2 \n" ); document.write( "D^2=13.29 \n" ); document.write( "D=sqrt13.29 \n" ); document.write( "D=3.646.. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |