Find the volume of a cube .

Question

A sphere is inscribed in a rectangular solid 5 cm in length, 4 cm in width and 3 cm in height. Another sphere of the same volume also inscribed in a cube. Find the volume of a cube .

Answer 1

This is a thought problem.

 

The largest that the first sphere can be is an diameter of 3 cm.

The second sphere has the same diameter.

The cube circumscribing the second sphere has a length, width, and height of 3 cm

The volume of the cube is 27 cm³