Answer:
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to [tex]36\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the rectangular base
h is the height of the prism
In this problem we have
[tex]V=144\ cm^{3}[/tex]
[tex]h=4\ cm[/tex]
substitute and solve for B
[tex]144=B(4)[/tex]
[tex]B=144/(4)=36\ cm^{2}[/tex] -----> area of the rectangular base
therefore
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to [tex]36\ cm^{2}[/tex]
