Price of the cheapest variant on the producty archive page

Hi,
I am creating a furniture store, where the price depends on the m2 of the product.
In the product I have defined one price for all variants, e.g. 100 PLN.
The dimension is as an attribute, e.g. 20x80cm, and in the field “Value for WCK” I have a value already recalculated, i.e. 0.16 (m2).
The price of the variant in your plugin is converted this way {pa:size_metod} * {product_price}.

Is it possible to display the price of the cheapest product variant on the products archive page.
Is it possible to display the value of the cheapest variant somehow?
How does the “Price Filtering” function work, because I can’t find information about it in the documentation.

Thank you for your help.