Question

Which of the following figures has six faces?
(a)

(b)

(c)

(d)

Answer 1

Hint: Mathematics includes the study of topics which are related to quantity, structure, space and change. To solve this problem, we have to check all the individual options and match the option which is required in the problem statement. Using this methodology, we can solve the problem.

Complete step-by-step answer:
Mathematics is related to all the phenomena occurring in the world. When mathematical structures are good models of real phenomena mathematical reasoning can be used to provide insight or predictions about nature. One of the most important branches of mathematics is geometry. It includes the analysis of figures using simple theorems and results.
For a three-dimensional solid, a face is a two-dimensional shape that makes up one surface of the three-dimensional solid. According to our problem, we have to identify the solid with six faces.
According to the definition, option (a) has two faces only.
Similarly, option (b) has six faces.
Likewise, option (c) has three faces.
Also, option (d) has five faces.
So, for a solid of six faces, we have option (b) that correctly matches the required condition.
Therefore, option (b) is correct.

Note: The key step in solving this problem is the knowledge of geometrical figures, particularly the total number of faces of a solid. By using some properties and visual observation we can easily identify the correct option. These observation skills will enhance the confidence of students.