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The phrase "a prodigious surface area" is correct and usable in written English.
It can be used when describing something that has an exceptionally large surface area, often in scientific or technical contexts.
Example: "The new solar panels have a prodigious surface area, allowing them to capture more sunlight than traditional models."
Alternatives: "an enormous surface area" or "a vast surface area".
Exact(1)
Scanning electron microscopy (SEM) analysis results showed that CTS-g-PAMA exhibited a porous structure with a prodigious surface area.
Similar(59)
Those digital surfaces were smoothed to find a basal surface area (Supplementary Fig. S5).
Curved surfaces capture more light than flat ones because they have a greater surface area.
Convoluted human brains pack a larger surface area into a small container.
In fact, even Office 365 is a programming surface area.
These machines are not tablets; there is a work surface area and a view area.
Again, thinking in terms of a bigger surface area is the key.
It's a question of surface area.
It occupies a surface area of over 460 hectares.
Creating a crystal with more surface area enables more molecules to fit inside.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com