What is a cube is removed from the corner of a larger cube Datermine and explain the relationship between the total surface area of the original larger cube the new figure with the missing portion?

Answer 1

If we remove a cube from the corner then cavity we get to see can be considered in the form of a cuboid room and the room doesn't has roof and front wall because the cube is removed from the corner(you can consider any two surfaces).

Let us say the side of larger cube be A then its surface area is 6A2.

And we have removed a cube of side a from the corner. After removing we get 4 squares of side a in the cavity and the area is 4 x a2. But the roof and front wall is not there so there is decrease in area by 2 x a2.

So, the surface area of new figure is 6A2 + 4a2 - 2a2 = 6A2 + 2a2.

So the surface area of new figure is more than the original cube.