Answer: [tex]432\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]
Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high
base area for the water is the same i.e. [tex]12\ in.\times 6\ in.[/tex]
The volume of rectangular prism is [tex]l\times b\times h[/tex]
The volume of water in the vase is given by
[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]