Final answer:
Without the density of shredded plastic, volume in cubic meters cannot be determined. In the case of trash, if a compactor reduces volume to 0.350 times its original size, density increases by a factor of approximately 2.857 (1/0.350).
Step-by-step explanation:
To determine the volume in cubic meters (m3) needed to hold 100 kilograms of shredded plastic yogurt containers, we need information about the density of the shredded plastic. Unfortunately, the question does not provide the density of the shredded plastic.
However, in a similar context, if a trash compactor can reduce the volume of rubbish to 0.350 of its original value, the density of the rubbish would be increased by a factor of (1/0.350) since density is directly related to mass and inversely related to volume.