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

by what factor is the surface area of the figure increased?

2
4
16
24

4

Step-by-step explanation:

when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).

∴ when volume scale factor = 8

the length scale factor = ∛8 = 2

while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).

∴ when the length scale factor =  2

the surface area scale factor = 2² = 4

-2 is the right