document.write( "Question 1076963: The total surface area of a right square prism is 230 ft^2. Find the height of the prism if the length of a side of a base is 5 ft. \n" ); document.write( "
Algebra.Com's Answer #691593 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The total surface area of a right square prism is 230 ft^2. \n" ); document.write( " Find the height of the prism if the length of a side of a base is 5 ft. \n" ); document.write( ": \n" ); document.write( "let h = the height \n" ); document.write( "We know it has a square base \n" ); document.write( "L = 5' is the length of the base \n" ); document.write( "w = 5' is the width of the base \n" ); document.write( ": \n" ); document.write( "surface area \n" ); document.write( "SA = 2(Lw) + 2(Lh) + 2(wh) \n" ); document.write( "2(5*5) + 2(5h) + 2(5h) = 230 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "25 + 5h + 5h = 115 \n" ); document.write( "10h = 115 - 25 \n" ); document.write( "10h = 90 \n" ); document.write( "h = 90/10 \n" ); document.write( "h = 9' is the height \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check: \n" ); document.write( "2(5*5) + 2(5*9) + 2(5*9) = \n" ); document.write( "50 + 90 + 90 = 230 \n" ); document.write( " |