Question

the length of the diagonal of a cube that can be inscribed in a sphere of radius 7.5 cm is

Answer 1

The required length of diagonal = 15 cm

Step-by-step explanation:

We can find out the length of diagonal through two ways.

(1) let's assume the side of cube be 'a'.

* refer the given figure.

Then, length of its main diagonal (cube) $= a\sqrt{3}$

But, length of cube is not given.

(2) Also, we can understand that;

• Length of main diagonal of cube =$2\times radius of sphere$

• Length of main diagonal of the cube =$2\times7.5=15 cm$
• This is the required length of diagonal = 15 cm

Answer 2

Answer:

15cm

Step-by-step explanation:

diagonal of cube is √3a

sphere of r is 7.5

main diagonal of cube is 2 × 7.5 = 15 cm

and it is the ans