Answer:
Volume = [tex]\frac{1}{8}[/tex] cubic units.
Step-by-step explanation:
The volume of a rectangular prism is given by,
[tex]V = (\textrm {Length}) \times (\textrm {Width}) \times (\textrm {Height})[/tex] .......... (1) and
[tex]V = (\textrm {Base Area})\times (\textrm {Height})[/tex] .......... (2)
Now, the length of the given prism is [tex]\frac{1}{2}[/tex] units, width is [tex]\frac{1}{2}[/tex] units and the height is [tex]\frac{1}{2}[/tex] units.
So. from equation (1) the volume, V = [tex](\frac{1}{2}) \times (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{8}[/tex] cubic units.
Now, base area = B = [tex](\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4}[/tex] sq. units.
So, from equation (2) we get
[tex]V = (\frac{1}{4}) \times (\frac{1}{2}) = \frac{1}{8}[/tex] cubic units. (Answer)
