Question

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

Answer 1

Answer:
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