A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a storage container for the prism that has a volume of 35 cubic centimeters. What is the difference between the volume of the prism and the volume of the storage container? Enter your answer in the box as a simplified mixed number or a decimal.

Answer:[tex]3.75\ cm^{3}[/tex]  or  [tex]3\frac{3}{4}\ cm^{3}[/tex]Step-by-step explanation:step 1Find the volume of the rectangular prismwe know thatThe volume of a rectangular prism is[tex]V=LWH[/tex]In this problem we have[tex]L=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm[/tex][tex]W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm[/tex][tex]H=5\ cm[/tex]substitute in the formula [tex]V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{125}{4}=31.25\ cm^{3}[/tex]step 2Find the difference between the volume of the prism and the volume of the storage container[tex]35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}[/tex][tex]3.75=3\frac{3}{4}\ cm^{3}[/tex]