The radius of the circumsphere of a cube of side 'a' is √3a/2.

Here's the step by step solution:

1. The circumsphere of a cube is a sphere that passes through all the vertices of the cube.

2. The diameter of the circumsphere is equal to the diagonal of the cube.

3. The formula to calculate the diagonal of a cube is √3a, where 'a' is the side of the cube.

4. The radius of the circumsphere is half of the diameter, so it is √3a/2.

Question

The radius of the circumsphere of a cube of side 'a' is √3a/2.

Here's the step by step solution:

1. The circumsphere of a cube is a sphere that passes through all the vertices of the cube.

2. The diameter of the circumsphere is equal to the diagonal of the cube.

3. The formula to calculate the diagonal of a cube is √3a, where 'a' is the side of the cube.

4. The radius of the circumsphere is half of the diameter, so it is √3a/2.

Knowee AI · Accepted Answer

The radius of the circumsphere of a cube of side 'a' is √3a/2.

Here's the step by step solution:

1. The circumsphere of a cube is a sphere that passes through all the vertices of the cube.

2. The diameter of the circumsphere is equal to the diagonal of the cube.

3. The formula to calculate the diagonal of a cube is √3a, where 'a' is the side of the cube.

4. The radius of the circumsphere is half of the diameter, so it is √3a/2.

The radius of circumsphere of a cube of side ‘a’ cm is√2a2a√3a3a√32a32a√52a