Question

area of the floor of a cubical room is 48 sq.m. the of the longest rod that can be kept in that room is​

Answer 1

Answer: please see attachment

Step-by-step explanation:

Answer 2

The longest rod's length is 12 m.

Given data :

Area of the floor = 48 m²

So, one side's length= ✓48 = ✓16 × ✓3 = 4✓3 m

Now,the longest possible length in a cube is it's diagonal.

So,the rod's length = Cube's diagonal length = ✓3 × 4✓3 = 4×3 = 12 m (answer)