Choose the false statement from the following?

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All sides of a square are equal.

Cuboid is a three-dimensional figure.

A cuboid has 2 pair of opposite faces

The number of vertices of the cube is 6.

answer is D.

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Detailed Solution

Concept- To get at the ultimate conclusion, we must first understand all of the figures provided in the question before moving forward. In order to analyze the statements provided, we will then draw all the indicated figures in the alternatives. The right response will then be revealed by analyzing each of the provided statements.
To answer this question, we must identify which of the following claims are false or wrong.
Therefore, in order to reach the final conclusion, we must be aware of all the data provided in the question before moving on.
Drawing a square is necessary to begin with the first option since it has the property that all of its sides are equal, or a.
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As a result, we may infer from the aforementioned criterion that the first option's assertion that the square's sides are equal is true.
Then, moving on to the next option, we must create a cuboid with the dimensions l, b, and h. We already know that this is a three-dimensional figure because:
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As a result, we can infer from the aforementioned criterion that the second choice, "Cuboid is a three-dimensional figure," is true.
The cuboid figure is required once more for the third option, but this time the criterion relates to the cuboid's faces as follows:
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We can see clearly from the figure that face AEFB is opposite to face CDGH and also face BDHF is opposite to face ABCD.
The third option's claim that the cuboid has three pairs of opposite faces is therefore true, according to the aforementioned requirement.
Moving on to the following choice, we must design a cube with side a and we are aware that it is a three-dimensional figure because:
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Therefore, it is evident from the figure that the cube has 8 vertices, which are labeled A, B, C, D, E, F, G, and H.
Therefore, the final option statement—that the cube has six vertices—is untrue.
Hence, the correct answer is option 4.

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