We have that the formula for the volume of a rectangular prism is:
[tex]V=l\cdot w\cdot h[/tex]
where 'l' is the length, 'w' is the width and 'h' is the height.
In this case, we have the following:
[tex]\begin{gathered} l=2yd \\ w=1\frac{2}{3}=\frac{5}{3}yd \\ h=5\frac{1}{3}=\frac{16}{3}yd \end{gathered}[/tex]
then, using the formula, we get:
[tex]V=2\cdot\frac{5}{3}\cdot\frac{16}{3}=\frac{2\cdot5\cdot16}{3\cdot3}=\frac{160}{9}=17\frac{7}{9}yd^3[/tex]
therefore, the volume is 17 7/9 yd^3
