Hopefully someone more experienced will chime in, but in the meantime, a super-detailed version:
The cubes are plastic jerry cans. They're typically made from "#2" plastic (as indicated by the little insignia at the bottom of plastic things).
The idea is to use them as a v low tech method to chill the wort after the boil in the kettle. So instead of spending lots of cash on various plate/immersion chillers, you could pickup a cheap plastic jerry can/cube at Bunnings/Rays outdoors/etc for ~$25.
The basic requirement for chilling is to drop the temperature to allow the yeast to be pitched & cold break to form; get the temp down quickly-ish to reduce risk of oxidation; & cool the wort under sterile conditions as you have a very fertile medium for infections to occur before you get the yeast in there.
The Cube allows this as you can carefully fill a 20L cube just after the boil with 20L wort while its still hot & squeeze out almost every little bit of air as the slightly soft plastic can be easily squished. No air in it means there's no/little risk of oxidation, & no air for infections to occur. Doing it while the wort is still v hot means the heat effectively sterilizes the cube. The cube then sits overnight or longer and gradually cools down. The cubes are used opposed to other plastic vessels because the shape of them allows you to more easily squeeze them, allows better heat loss, and the shape is space efficient for storage.
Some people have safely stored wort in cubes for 2-odd years.
The plastic flavour can be an issue, but is generally removed with a few rinses with hot water. Leave the cube full for a few hours or a day, toss the water, repeat a few time and the placky flavour issue is gone.
Because you are not "actively" chilling the wort, it's referred to as the "No Chill" method, or Cubing.
Some people also use them to ferment in, esp but the cubes fit nice & efficiently in fridges.