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Is the subsequent statement true?

If the length of diagonal of a cube is $63 cm,$ then the length of each edge of the cube is 3 cm.

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True

False

answer is B.

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Detailed Solution

It is given that the length of diagonal of a cube is

63 cm .

If the edge (side) of a cube be

a

cm, then its diagonal

= a 3 .

Therefore we have,

63 = a 3 ⇒ a = 6 cm

Thus, if the length of diagonal of a cube is

63 cm,

then the length of each edge of the cube is 3 cm.
Therefore, the given statement is false.
Hence, option (2) is correct.

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