document.write( "Question 574763: What is the volume of a cube if the are is 169 sq in? (in the book, the area is only given) \n" ); document.write( "
Algebra.Com's Answer #369271 by nerdybill(7384)\"\" \"About 
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What is the volume of a cube if the are is 169 sq in? (in the book, the area is only given)
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\n" ); document.write( "We know that the length of all edges of a cube is the same AND that it has 6 sides (faces).
\n" ); document.write( "Because it has 6 sides, the area of EACH side (face) of the cube MUST be:
\n" ); document.write( "169/6 = 28.1667 sq inch
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\n" ); document.write( "Let x = length of one side of cube
\n" ); document.write( "then
\n" ); document.write( "x^2 = 28.1667
\n" ); document.write( "x = sqrt(28.1667)
\n" ); document.write( "x = 5.3072 inches
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\n" ); document.write( "Volume is:
\n" ); document.write( "x^3 = 5.3072^3 = 149.487 cubic inches
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