Answer: The volume of the prism is [tex]\dfrac{105}{512}[/tex] cubic centimetres.
Step-by-step explanation: Given that a rectangular prism has the following dimensions:
[tex]length,~l=\dfrac{3}{8}~\textup{cm},\\\\width,~w=\dfrac{5}{8}~\textup{cm},\\\\height,~h=\dfrac{7}{8}~\textup{cm}.[/tex]
We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by
[tex]V=w\times h\times l.[/tex]
Therefore, the volume of the given prism will be
[tex]V\\\\=w\times h\times l\\\\=\dfrac{3}{8}\times \dfrac{5}{8}\times \dfrac{7}{8}\\\\=\dfrac{105}{512}~\textup{cm}^3.[/tex]
Thus, the volume of the prism is [tex]\dfrac{105}{512}[/tex] cubic centimetres.
