document.write( "Question 86100: A metal worker is building a wire frame (represented by the dotted
\n" ); document.write( "and solid lines in the diagram above) for a cubic box that is to have
\n" ); document.write( "a volume of 27 cubic feet. What is the total length of wire the metal
\n" ); document.write( "worker will need?
\n" ); document.write( "A. 27 feet
\n" ); document.write( "B. 36 feet
\n" ); document.write( "C. 54 feet
\n" ); document.write( "D. 81 feet
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Algebra.Com's Answer #62209 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
The volume of cube can be found using this formula:\r
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\n" ); document.write( "\n" ); document.write( "\"s%5E3=V\" where s is the length of the side and V is the volume\r
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\n" ); document.write( "\n" ); document.write( "So if we know the volume is 27, this means V=27\r
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\n" ); document.write( "\n" ); document.write( "\"s%5E3=27\" Plug in V=27\r
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\n" ); document.write( "\n" ); document.write( "\"root%283%2Cs%5E3%29=root%283%2C27%29\" Take the cube root of both sides (this undoes the exponent)\r
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\n" ); document.write( "\n" ); document.write( "\"s=3\" Use your calculator to evaluate the cube root of 27\r
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\n" ); document.write( "\n" ); document.write( "So the length of the side is 3 feet. Now lets count the number of segments. There are 12 segments that form the cube. So if we multiply 12 by 3 we'll get the total perimeter of the cube. It turns out that the perimeter of a cube is \r
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\n" ); document.write( "\n" ); document.write( "\"P=12s\"\r
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\n" ); document.write( "\n" ); document.write( "\"P=12%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"P=36\"\r
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\n" ); document.write( "\n" ); document.write( "So the perimeter of the cube is 36. So the answer is B)\r
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