Answer:
[tex]\frac {8}{15} yd^{3}[/tex]
Step-by-step explanation:
To find the volume, we multiply the surface area and the height. In this case, the area is already provided as [tex]\frac {2}{3} yd^{2}[/tex] and since Steve decides to make the height of cabinet of [tex]\frac {4}{5} yd[/tex] then the volume, V= Ah where A is area and h is height. Substituting the value of A with [tex]\frac {2}{3} yd^{2}[/tex] and h with [tex]\frac {4}{5} yd[/tex] then volume, V will be
[tex]V=\frac {2}{3} yd^{2}\times \frac {4}{5} yd=\frac {8}{15} yd^{3}[/tex]