Question

In a cube
a)All faces are identical
b)All faces are squares
c)Both a and b
d)None of these

Answer 1

Hint: The basic difference between a cube and a square is, a cube is a 3D figure (having 3 dimensions) i.e. length, breadth and height while a square has only 2 dimensions i.e. length and breadth.
But the cube is formed from a square having all sides identical.

Complete step-by-step answer:

Now if we observe fig A shows a perfect square whereas fig B shows a perfect cube.
A square has four sides and all four sides are congruent.
A cube has six faces which are all squares and congruent to each other, so each face has four equal sides and all four interior angles are right angles.
A cube has 12 edges. All 12 edges are the same length. As we know when 6 faces of squares of the same dimensions are attached to each other it forms a cube.
Thus, in a cube all faces are squares and since all are squares they are identical.
Thus, option c is correct.

Note: We have seen examples like a card sheet paper is a square but a box is a cube.
We are familiar with Rubik's cube, a best example of a cube which after solving gives you 6 different coloured but identical shaped squares.