Count the number of cubes in the given figure:

Let us count the cubes layer by layer from top to bottom:
1. Top layer (Tier 1): There is $1$ visible cube at the apex.
2. Middle layer (Tier 2): There are $3$ visible columns. Under the top cube, there must be a supporting cube. So, this layer contains $3$ cubes.
3. Bottom layer (Tier 3): There are $6$ visible cube faces forming the base arrangement. The columns extending from the top levels rest on hidden base cubes. The total number of cubes in this tier is $6$.

Adding the cubes across all tiers:

$$\text{Total Cubes}=1+3+6=10$$