Question 812642
If all three dimensions of a box are quadrupled, the volume of the new box is {{{highlight(64)}}} times bigger than the volume of the original box.
 
{{{L}}}= length of the original box
{{{W}}}= width of the original box
{{{H}}}= heigth of the original box
{{{L*W*H}}} is the volume of the original box.
 
The measurements of the new, larger box are
{{{4*L}}} , {{{4*W}}} , and {{{4*H}}} .
The volume of the new, larger box is
{{{(4*L)(4*W)(4*H)=(4*4*4)*(L*W*H)=4^3*(L*W*H)=64*(L*W*H)}}}