Question 1162186



the second carton
the height:{{{ h}}}
the length: {{{l}}}
the width: {{{w}}}
the volume of the second carton: {{{V[1]=lwh}}}

the first carton
the height:{{{ 2h}}}
the length: {{{l/3}}}
the width:{{{ 4w}}}

the volume of the first carton: {{{V[2]=l/3*4w*2h=8lwh/3}}}

The ratio of the volume of the first carton to that of the second is

{{{V[2]/V[1]=((8lwh)/3)/(lwh)}}}.........simplify


{{{V[2]/V[1]=(8cross(lwh))/3(cross(lwh))}}}

{{{V[2]/V[1]=8/3}}}


answer: C. {{{8:3}}}