What is the volume of the following rectangular prism?
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Answer: The required volume of the given rectangular prism is [tex]14\dfrac{2}{3}~\textup{cubic units}.[/tex]
Step-by-step explanation: We are given to find the volume of the rectangular prism shown in the figure.
We know that
the VOLUME of a rectangular prism with base area b sq. units and height h units is given by
[tex]A=bh.[/tex]
For the given rectangular prism, we have
[tex]b=7\dfrac{1}{3}=\dfrac{22}{3},~~h=2.[/tex]
Therefore, the VOLUME of the given rectangular prism is
[tex]A=bh=\dfrac{22}{3}\times2=\dfrac{44}{3}=14\dfrac{2}{3}.[/tex]
Thus, the required volume of the given rectangular prism is [tex]14\dfrac{2}{3}~\textup{cubic units}.[/tex]