Sponges are often used as a one-size-fits-all solution for cleaning around the home. After all, they are very versatile—whether you’re scrubbing off greasy dishes or scouring sticky countertops.

People love to debate cleaning questions: Do you need to rinse dishes before putting them in the dishwasher? Can you use soap on a cast-iron skillet? Yes or no to fabric softeners? And, perhaps the ...