Hi @cuowee ,
There is no way to set a custom price for a product that will only be present for that one customer's checkout. If you update the price of a product, all customers on your store will now see that new price of the product.
You would probably need to utilize Product Variants here (https://shopify.dev/docs/admin-api/rest/reference/products/product-variant). One solution would be that when the customer enters the height and width, your app can create a brand new product variant for that customer (POST {store-name}.myshopify.com/admin/api/2020-04/products/{product-id}/variants.json) with the appropriate price. Now that the new product variant has been created with the right price, you can add it to the customer's cart so they can purchase it.
Alternatively, you can create all the Product Variants for every combination of product, length, height, and price ahead of time. That way when the customer enters these details, instead of creating a new Product Variant on the fly you can simply retrieve the appropriate already created variant.
Hassain | Developer Support Specialist @ Shopify
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