Answer:
The height is 7 inches
Step-by-step explanation:
Given
[tex]Base\ Area = 15in^2[/tex]
[tex]Volume = 105in^3[/tex]
Required
Determine the height [missing from the question]
The volume of a hexagonal prism is:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
[tex]Height = \frac{105in^3}{15in^2}[/tex]
[tex]Height = \frac{105in}{15}[/tex]
[tex]Height = 7in[/tex]