Since a sphere is round it is a shape without a face.
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You take a look at what 2-D shape the face is, and then that's the name of the face.
A circle comes to mind as the face of a right cylinder (which has 2 faces). The curved side is not considered a face.
Visualising solid shapes is a very useful skill. We can see the hidden parts of a solid shape. For example, when a cuboid with a square face is cut vertically, then each face is a square. The face is a cross section of the cuboid
It depends on the shape of the base. A pyramid or a prism can have any polygonal shape as base and the formula for its area will depend on the shape. With other solid figures, the base may simply be the face tat the object happens to be "sitting" on: roll it and another face becomes the base.
A face value in maths is the out-side of the shape, as to say the face of a shape. The face value is the sides of a shape.