A cereal box is basically a rectangular prism. The volume formula for a rectangular prism is: [tex]V=wlh[/tex]
where
[tex]V[/tex] is the volume of the rectangular prism
[tex]w[/tex] is the width
[tex]l[/tex] is the length
[tex]h[/tex] is the height
Notice that for our formula we can infer the the base of the prime will have area [tex]width [/tex] times [tex]length [/tex]. Since we already know the area of our rectangular prism [tex](160cm^{2})[/tex], the only thing we need to do is multiply that area by the [tex]height[/tex]:
[tex]V=(160cm^{2})(32cm)[/tex]
[tex]V=5120cm^{3}[/tex]
We can conclude that the volume of the cereal box in cubic centimeters is [tex]5120cm^{3}[/tex].
