1. He is try to hit a piece of wood with an axe to cut it.

(Is this correct?)

2. a piece of wood, two pieces of wood
(Do we use these expressions? What about a wood, or two woods?)

1 should be this:

He is trying to cut wood with an axe.

In 2, both of the first expressions are correct. The wording "a wood" and "two woods" are not correct in normal usage (except in highly specialized references to golf clubs).

1. Could also be: He tries / He is trying / He does try (Present Tense) rather than the Present Progressive.

2. If you have mahogony wood and birch wood, you could then say: the two woods

Sra

1. Yes, that sentence is correct. It describes a person attempting to cut a piece of wood by hitting it with an axe.

2. In English, we use the expression "a piece of wood" to refer to a single, individual piece of wood. For example, if you have one board or plank, you would say "a piece of wood." Similarly, if you have two separate boards or planks, you would say "two pieces of wood."

On the other hand, we don't typically use the phrase "a wood" to refer to a single piece of wood. Instead, "a wood" usually refers to an area of land covered with trees or a forest. So, "a wood" means a collection of many trees in a specific place.

Similarly, "two woods" would imply two separate forested areas. For example, if you are referring to two different forests or wooded areas, you could say "two woods."

In summary, use "a piece of wood" to refer to a single board or plank, "two pieces of wood" for two separate boards or planks, "a wood" for a forested area, and "two woods" for two different forested areas.