ANSWER
z = 5.8 feet
EXPLANATION
The volume of a prism is the product of its measures. In this case, we know that the volume of this prism is 156.6 ft³, and its measures are 9 ft, 3 ft, and z,
[tex]156.6ft^3=9ft\cdot3ft\cdot z[/tex]
Solving for z,
[tex]z=\frac{156.6ft^3}{9ft\cdot3ft}=\frac{156.6ft^3}{27ft^2}=5.8ft[/tex]
Hence, z = 5.8 ft.
