Question

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

Answer 1

4

Explanation:

8/2

Answer 2

4

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