A right rectangular prism has a volume of 144 cubic centimeters and a height of 4 centimeters. What are a possible length and width, in centimeters of the prism
Accepted Solution
A:
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 thatThe volume of a rectangular prism is equal to [tex]V=Bh[/tex]whereB is the area of the rectangular baseh is the height of the prismIn 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 basethereforeThe possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to [tex]36\ cm^{2}[/tex]