Question

If a sphere fits exactly inside a cube of side 6 cm, then find the ratio of length of the longest rod that can be fitted in the cube to the length of the longest rod that can be fitted in the sphere. 1 : √ 3 √ 3 : 1 2 : √ 3 √ 3 : 2

Answer 1

Answer:

The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.

Ratio of length of rods = length of rod inside cube

length of rod inside the sphere

$= \frac{6 \sqrt{3} }{6} \\ = \frac{ \sqrt{3} }{1}$

= √ 3:1