document.write( "Question 348317: A rectangular box with volume 5 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x \n" ); document.write( "
Algebra.Com's Answer #249626 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let y = height\r \n" ); document.write( "\n" ); document.write( "V = 5 = x^2 * y \n" ); document.write( "y = 5 / x^2\r \n" ); document.write( "\n" ); document.write( "Surface area = a = top + bottom + 4 sides\r \n" ); document.write( "\n" ); document.write( "a = 2x^2 + 4xy \n" ); document.write( ". . . for 5 cubic meters from the volume formula, substute for y\r \n" ); document.write( "\n" ); document.write( "a = 2x^2 + 4x * 5 / x^2 \n" ); document.write( "a = 2x^2 + 20x / x^2 \n" ); document.write( "a = 2x^2 + 20 / x\r \n" ); document.write( "\n" ); document.write( "a (x) = 2x^2 + 20 / x <=== \n" ); document.write( " \n" ); document.write( " |