Answer: The correct option is (C) 36 cm².
Step-by-step explanation: We are given to find the volume of a rectangular prism with base area 36 cm² and height [tex]3\frac{5}{6}~\textup{cm}.[/tex]
We know that the volume of a rectangular prism with base area b sq. units and height h units is given by
[tex]V=bh.[/tex]
Here,
base area, b = 36 cm²
and
height is
[tex]h=3\dfrac{5}{6}=\dfrac{23}{6}~\textup{cm}.[/tex]
Therefore, the VOLUME of the given prism will be
[tex]V=bh=36\times \dfrac{23}{6}=6\times 23=138~\textup{cm}^3.[/tex]
Thus, the volume of the given rectangular prism is 36 cm².
Option (D) is CORRECT.
