Question

Given the area of the base of a cube is 64 cm square. find the maximum length of the rod which can be placed inside this cube.

Answer 1

cube area= 6a^2=64

a^2=64/6

maximum length of road=

√3a=√3×8/√3×√2=8/√2=4√2

Answer 2

Answer:

Step-by-step explanation:

The maximum length of the rod will be it's hypotenuse

The area of base is 64

So side is √64

That is 8

Now the hypotenuse of a cube is√( length² + breadth² + height²)

The length breadth and height is equal in a cube

So√(8²+8²+8²) = √192=13.8564065