Answer with Step-by-step explanation:
The volume of a rectangular prism is given by:
V=lbh
where l is the length,b is the width and h is the height
Here, we are given that:
V=711.68 cubic inches
l=4 inches
and b=12.8 inches
We have to solve for h
Putting values of V,l and b in V=lbh
711.68=4×12.8×h
711.68=51.2h
⇒ h=711.68/51.2
⇒ h=13.9
Hence, Height of prism is:
13.9 inches