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Q.

If the length of the diagonal of a cube is $6 \sqrt{3}$ , then find the length of the edge of the cube.

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a

2 cm

b

4cm

c

5 cm

d

6 cm

answer is D.

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Detailed Solution

Given length of diagonal of a cube is

6 \sqrt{3}

.
The diagonal of a cube is

a \sqrt{3}

where a is the edge of a cube.
Diagonal

= 6 \sqrt{3}

Comparing with the formula,

a \sqrt{3} = 6 \sqrt{3}

\Rightarrow a = 6 cm

Thus, the edge of a cube is a

= 6 cm

.
Therefore, option (4) is correct.

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If the length of the diagonal of a cube is 63, then find the length of the edge of the cube.