Question

The volume of a triangular prism is increased by a factor of 8.

Answer 1

The area is 4 times as big

Answer 2

we  know that

$larger\ volume=original\ volume*(scale\ factor)^{3}$

and

$larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}$

so

Find the scale factor

we know that

$(scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2$

Find the factor of the surface area increased

$(scale\ factor)^{2}=2^{2} =4$

therefore

the answer is

the surface area increased by a factor of $4$