Question

Count the number of faces in the object shown below. 

• A. 14
• B. 15
• C. 16
• D. 18

Hint:

Remember to carefully count all faces including hidden and irregular ones.

Answer 1

The Correct Option is B

The object shown has 15 faces in total. This total includes all the distinct flat surfaces that form the boundaries of the three-dimensional shape.
Each face is a polygon, and together they enclose the volume of the object. Counting the faces accurately is important for understanding the geometric properties of the solid, such as its edges and vertices, and for applying formulas like Euler's characteristic for polyhedra, which states that \( V - E + F = 2 \) (where \(V\) is vertices, \(E\) is edges, and \(F\) is faces).
The diversity in the shapes of these faces, whether they are triangles, quadrilaterals, or other polygons, also contributes to the classification and study of the solid in geometry.