The volume of a triangular prism is increased by a factor of 8. By what factor is the surface area of the figure increased?

we  know that[tex]larger\ volume=original\ volume*(scale\ factor)^{3}[/tex]and[tex]larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}[/tex]soFind the scale factorwe know that[tex](scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2[/tex]Find the factor of the surface area increased[tex](scale\ factor)^{2}=2^{2} =4[/tex]thereforethe answer isthe surface area increased by a factor of [tex]4[/tex]