Answer: [tex]27.6\ in.^3[/tex]
Step-by-step explanation:
Given
Length of Prism is [tex]l= 7.34\ in.[/tex]
The width of Prism is [tex]w=3.12\ in.[/tex]
The height of Prism is [tex]h=6\ in.[/tex]
The volume of a The height rectangular prism is given as
[tex]V=l\times w\times h[/tex]
Substituting values we get
[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]
Volume of storage [tex]V_s=165\ in.^3[/tex]
The difference in volume is
[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]