Amazing cube!
Geometry
Level
2
There are six faces in a cube. Rajeev fix one cube on each of the faces. The dimensions of all the cubes are same. What is the ratio of total surface area of newly formed solid to the area of a single cube?
41:9
7:1
6:1
5:1
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1 solution
Surface area of one cube = 6 x l^2 where l is the side of cube. As the other cubes are joined to the faces of the first cube, one of their faces would be in contact with the face of the first cube. So, their surface area is 6 x l^2 - l^2 = 5 x l^2 And therefore, the surface area of the six cubes is 6 x 5 x l^2