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)\"\" \"About 
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( "
\n" );