Answer:
Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width
[tex]h[/tex] - Height
[tex]l[/tex] - Length
If dimensions are doubled, then volume is increased in a factor of 8:
[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]
[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]
[tex]V_{f} = 8 \cdot V_{o}[/tex]
The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
