Answer:
[tex]V = 983.73\ cm^3[/tex] or [tex]V = 983\ ^{11/15}\ cm^3[/tex]
Step-by-step explanation:
By definition the volume of a rectangular prism is the product of its length (l) by its width (w) by its height (h). This is:
[tex]V = lwh[/tex]
In this case we know that
l = [tex]8\ ^{1/2}[/tex] centimeters
l = [tex]8 + \frac{1}{2}=8.5[/tex] centimeters
w= [tex]9\ ^{1/3}[/tex] centimeters
w = [tex]9 + \frac{1}{3}=9.333[/tex] centimeters
h= [tex]12\ ^{2/5}[/tex] centimeters
h = [tex]12 + \frac{2}{5}=12.4[/tex] centimeters
Then
[tex]V = (8.5)(9.333)(12.4)\ cm^3[/tex]
[tex]V = 983.73\ cm^3[/tex]
[tex]V = 983\ ^{11/15}\ cm^3[/tex]
