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If the volume of a cube is 729 cu. cm. what is the length of its diagonal?
A) \( \Large 9\sqrt{2} cm \)
B) \( \Large 9\sqrt{3} cm \)
C) 18 cm
D) \( \Large 18\sqrt{3} cm \)
Correct answer:
B) \( \Large 9\sqrt{3} cm \)
Description for Correct answer:
Volume of cube = \( \Large Side^{3} \)
Therefore, 729 = \( \Large a^{3} \) => a = 9 cm
Therefore, Diagonal of cube = \( \Large Side \times \sqrt{3} \)
\( \Large 9 \times \sqrt{3} \)
\( \Large 9\sqrt{3} \) cm .
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