Question

The diagonal of a square is equal to the edge of a cube. The longest diagonal of the cube is $6\sqrt{6}$ cm. Find the side of the square (in cm)

• A. $6$
• B. $7$
• C. $8$
• D. $9$

Answer 1

The correct option is A $6$

Diagonal of a cube $=\sqrt{3}\times side=6\sqrt{6}$ cm
$\Rightarrow$ Side of cube $=6\sqrt{2}cm$
Given diagonal of a square $=\sqrt{2}\times side=6\sqrt{2}$ cm
So, side of square $=6cm$