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  • If the length of the diagonal of a cube is 6 sqrt{3} cm, then the length of the edge of the cube is 3 cm.

Direction: Write True or False and justify your answer in each of the following :

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

 

Answers (1)

Answer: False

We know that the diagonal of cube with side a is given as a\sqrt{3}  

Now in the question, the diagonal of the cube is  6\sqrt{3} cm

So we can write

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

Which gives,

a=6cm

So the side of cube is 6 cm

Thus, the statement is false.

Posted by

infoexpert23

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