Given:
[tex]4\text{ and one-half centimeters = }4\frac{1}{2}cm[/tex][tex]3\text{ and one-half centimeters = 3}\frac{1}{2}cm[/tex]The length of the right rectangular prism is
[tex]l=4\frac{1}{2}cm.[/tex]The width of the right rectangular prism is
[tex]w=5cm.[/tex]The height of the right rectangular prism is
[tex]h=3\frac{1}{2}cm.[/tex]Required:
We need to find the volume of the prism.
Explanation:
[tex]l=4\frac{1}{2}=\frac{4\times2+1}{2}=\frac{9}{2}=4.5cm[/tex][tex]h=3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}=3.5cm[/tex]Consider the volume of the prism formula.
[tex]V=lwh[/tex]Substitute l =4.5, w =5, and h=3.5 in the formula.
[tex]V=4.5\times5\times3.5[/tex][tex]V=78.75cm^3[/tex]Final answer:
The volume of the prism is 78.75 cubic cm.