Answer:
[tex]64[/tex]
Step-by-step explanation:
It was given that, the surface area of a rectangular prism is increased by a factor of 16.
Let k be the scale factor:
[tex] {k}^{2} = 16[/tex]
[tex] \implies \: k = \sqrt{16} = 4[/tex]
To determine the factor by which the volume of the figure is increased,we cube the scale factor to get:
[tex] {k}^{3} = {4}^{3} = 64[/tex]
Therefore the volume is increased by a factor of 64
