document.write( "Question 30504: an open box is to be constructed from a piece of cardboard 15 inches by 25 inches by cutting squares of length x from each corner and folding up the sides. Express the volume of the box as a function of x. what is the domain v? \n" ); document.write( "
Algebra.Com's Answer #17192 by venugopalramana(3286) You can put this solution on YOUR website! an open box is to be constructed from a piece of cardboard 15 inches by 25 inches by cutting squares of length x from each corner and folding up the sides. Express the volume of the box as a function of x. what is the domain v? \n" ); document.write( "WHEN WE CUT X LONG PIECES ON ALL 4 SIDES THE CARD BOARD WILL GET REDUCED BY \n" ); document.write( "X+X=2X...ALONG LENGTH AND...X+X=2X.....ALONG WIDTH \n" ); document.write( "SO OPEN BOX LENGTH = 25-2X AND WIDTH = 15-2X..AND HEIGHT =X ...SO VOLUME V IS GIVEN BY LEMGTH*WIDTH*HEIGHT \n" ); document.write( "V=(25-2X)(15-2X)X...DOMAIN OF V IS GIVEN BY THE FACT THAT LENGTH OR WIDTH CAN NOT BE NEGATIVE...CRITICAL VALUE BEING WIDTH WE GET .... \n" ); document.write( "15-2X>0...OR....15>2X...OR....7.5>X....OR X<7.5 \n" ); document.write( " |