If the diagonal of a cube ia 4√3, then the side of the cube is A) 1 B) 2 C) 3 D) 4
If the diagonal of a cube ia 4√3, then the side of the cube is
A) 1
B) 2
C) 3
D) 4
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Correct option is: D) 4
Let the side of the cube be a.
Then the diagonal of the cube = \(\sqrt {a^2+a^2 + a^2} = \sqrt3 \,a\)
Given that diagonal of the cube is \(4\sqrt3\).
\(\therefore\) \(\sqrt3 \, a\) = \(4\sqrt3\)
= a = 4
Hence, the side of the cube is 4.
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