Question

A big cube of side 8 cm is formed by rearranging together 64 small but identical cubes each of side 2 cm. Further, if the corner cubes in the topmost layer of the big cube are removed, what is the change in total surface area of the big cube?

• A. $16c{m}^2$, decreases
• B. $48c{m}^2$, decreases
• C. $32c{m}^2$, decreases
• D. Remains the same as previously

Answer 1

The correct option is D Remains the same as previously

Since, there are 3 faces which are visible in a corner cube. When the cube of a corner is removed then the 3 faces of other cubes will be visible from outside. So, there will not be any change in the surface area of this solid figure.