document.write( "Question 116565: In the formula V = lvh, find l when 2=4 inch., h = 6 inch., and V = 144 cu. in. \n" ); document.write( "
Algebra.Com's Answer #84743 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! I think you have a couple of errors in you problem. From the looks of it, this problem involves \n" ); document.write( "finding the volume of a box ... and the equation is telling you that the volume (V) is to be \n" ); document.write( "found by multiplying the length (L) times the width (w) times the height (h). Therefore, \n" ); document.write( "the equation you were given should have been: \n" ); document.write( ". \n" ); document.write( "V = L*w*h \n" ); document.write( ". \n" ); document.write( "You are to find L ... given that w = 4 in, h = 6 in, and V = 144 cu in. \n" ); document.write( ". \n" ); document.write( "Substitute these values into the appropriate place in the equation and you have: \n" ); document.write( ". \n" ); document.write( "144 = L*4*6 \n" ); document.write( ". \n" ); document.write( "Multiply out the two numbers on the right side and you have: \n" ); document.write( ". \n" ); document.write( "144 = L*24 \n" ); document.write( ". \n" ); document.write( "Divide both sides of this equation by 24, the multiplier of the L. When you do you get: \n" ); document.write( ". \n" ); document.write( "144/24 = L*(24/24) \n" ); document.write( ". \n" ); document.write( "On the right side the 24 in the numerator cancels the 24 in the denominator and you are \n" ); document.write( "left with just the L. \n" ); document.write( ". \n" ); document.write( "And on the left side the 24 goes into the 144 six times. So you are left with the answer: \n" ); document.write( ". \n" ); document.write( "6 = L \n" ); document.write( ". \n" ); document.write( "and the units you are working with are inches ... so the answer to this problem is: \n" ); document.write( ". \n" ); document.write( "L = 6 inches \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem a little better. Note above that I used \"L\" \n" ); document.write( "for length instead of lower case \"l\" because the lower case looks like the number one. \n" ); document.write( "It just helps to avoid the possibility of making a mistake by confusing it with one. \n" ); document.write( ". \n" ); document.write( " |