In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the cube-shaped box than the rectangular box?
we solve for volumes
we need
volume of cube and volume of rectangle box
remember that cube has all equal sides so volume=
side^3 or side times side times side
side=widht=legnth=height
width=6
volme of cube=6^3
volume of cube=6 timesm 6 times 6=216
volume of rectangle box=legnth times width times height
legnth=10
width=4
4=height
volume=10 times 4itme s4
volume=40 times 4
volume=160
so
cube=216
rectanglebox=160
subtract
216-160=56
answer is 56 in^3 bigge