Respuesta :

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]