Question 945698
{{{ w }}} = the width of the pool in feet
{{{ 15w + 50 }}} the length of the pool in feet
{{{ w/50 }}} = the depth of the pool in feet
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Volume, {{{ v }}} = width x length x depth
{{{ v = w*( 15w + 50 )*( w/50 ) }}}
{{{ v = (1/50)*w^2*( 15w + 50 ) }}}
{{{ v = ( 1/50 )*15w^3 + 50w^2 }}}
{{{ v = ( 3/10 )*w^3 + w^2 }}} ft3
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depth = {{{ 3 }}} ft
{{{ w/50 = 3 }}}
{{{ w = 150 }}} ft
{{{ v = ( 3/10 )*150^3 + 150^2 }}} 
{{{ v = (3/10)*3375000 + 22500 }}}
{{{ v = 1012500 + 22500 }}}
{{{ v = 1035000 }}}
The volume is 1,035,000 ft3
Hope I got it -check my math