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If total length of diagonals of a cube is 12 cm, what is the total length of edges of the cube?

A) 15 cm
B) 12 cm
C) \( \Large 6\sqrt{3}cm \)
D) \( \Large 12\sqrt{3}cm \)

Correct Answer:




D) \( \Large 12\sqrt{3}cm \)

Description for Correct answer:
Let length of diagonal of cube = b

Therefore, 4b = 12

=> b = 3

Therefore, Side of cube = \( \Large a\sqrt{3} \)

\( \Large a\sqrt{3} = b = 3 \)

=> \( \Large a = \sqrt{3} \)

Therefore, Sum of length of sides of cube = 12a

= \( \Large 12\sqrt{3}\ cm \)

Part of solved Loci and concurrency questions and answers : >> Elementary Mathematics >> Loci and concurrency

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