Question

Choose the false statement from the following?
(a) All sides of a square are equal.
(b) Cuboid is the three dimensional figure.
(c) A cuboid has 2 pair of opposite faces
(d) The number of vertices of the cube is 6.

Answer 1

Hint: First, before proceeding for this, we must know about all the figures which are mentioned in the question to get the final conclusion. Then, by drawing all the mentioned figures in the options, we will analyse the given statements. Then, by analysing all the statements given will give the correct answer from the following.

Complete step by step answer:
In this question, we are supposed to find the false or incorrect statements from the following given statements.
So, before proceeding for this, we must know about all the figures which are mentioned in the question to get the final conclusion.
So, starting with the first option, we must draw a square and we also have the property of the square that its all sides are equal as a.

So, from the above condition, we conclude that the first option statement that all sides of the square are equal is correct.
Then, going to the next option, we must draw a cuboid with length l, breadth b and height h and we know beforehand that it is a three dimensional figure as:

So, from the above condition, we conclude that the second option statement that is cuboid is a three dimensional figure is correct.
Then, again for the third option, we need the figure cuboid but this time the condition is asked about the faces of cuboid as:

So, we can see clearly from the figure that face ABCD is opposite to face BDHF and also face CDGH is opposite to face AEFB.
So, from the above condition, we conclude that the third option statement that the cuboid has 3 pairs of opposite faces is correct.
Then, going to the next option, we must draw a cube with side a and we know beforehand that it is a three dimensional figure as:

So, from the figure, we can clearly see that the cube has the 8 vertices named as A, B, C, D, E, F, G and H.
So, the last option statement which is that the cube has 6 vertices is false.

So, the correct answer is “Option D”.

Note: Now, to solve these types of questions we need to know some of the basic figures and also we should have a command on the chapter of menstruation as it tells us about the shapes and sizes of the figures. Moreover, we must be aware of the classification of 2D figures as circle, square, rectangle and triangle and 3D figures as cube, cuboid, sphere, etc.