Answer:
The volume of the prism increased by a factor of 64.
Step-by-step explanation:
Given that the original prism and the increased prism are similar, we have that the scale factor is:
Area ∝ (length of side) x (length of side)
If the area increases by a factor of 16, each side increases by a scale factor of √16 = 4. Regarding the volume:
Volume ∝ (length of side) x (length of side) x (length of side)
Thus the increase factor for the volume, in this case, is 4 x 4 x 4 = 64.
