Answer:
The height of the prism is [tex]24\ in[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
[tex]V=LWH[/tex]
In this problem we have
[tex]V=5,376\ in^{3}[/tex]
[tex]L=14\ in[/tex]
[tex]W=16\ in[/tex]
substitute in the formula and solve for H
[tex]5,376=(14)(16)H[/tex]
[tex]H=5,376/[(14)(16)][/tex]
[tex]H=24\ in[/tex]
