Answer:
40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 [tex]\frac{1}{2}[/tex] cm
width = 2 [tex]\frac{1}{2}[/tex] cm
height = 2 [tex]\frac{1}{2}[/tex] cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
Volume = [tex]\frac{13}{2}[/tex] x [tex]\frac{5}{2}[/tex] x [tex]\frac{5}{2}[/tex]
When you multiply everything together you should get [tex]\frac{325}{8}[/tex].
As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].
