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Know the logic for solving questions on painted cubes
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In exams like CAT, where time management plays a major role - identifying the question type by recalling the concept in first few seconds is extremely important. Chaitanya has amazingly segregated the cube based questions into three types. In this lesson, with help of a few examples he explains the third type of questions where cubes are painted and cut, supporting them with a few simple formulas.

Chaitanya K

U
can you post imp sums of this topic
Hello I have a doubt A cube of 7cm*7cm*7cm is kept in the corner of a room & painted in 3 different colours, each face in one colour. The cube is cut into 343 smaller but identical cubes. 1) how many smaller cubes do not have any face painted? 2) how many smaller cubes have exactly one colour on them? 3) how many smaller cubes have atmost 2 faces painted?
A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up. Q 1) How many cubes have only one coloured face each ? Q 2) What is the number of cubes with at least one green face each ? Q 3) How many cubes have two red and one green face on each ?
hi, approach to solve this? A cube is painted with blue color on its all six faces.If this cube is cut into 27 small cubes,and each of the 27 small cubes is cut into 64 small cubes, how many of the smallest cubes will have at least one face colored?
Sir could you tell me that P part. You said it is P^3 smaller pieces but what if it is an uneven cube that has no perfect cube root. What would have been the P if in the later example the cubes were cut into 126 pieces?
I have a doubt. The cubes that will be cut and will be along the edges of the bigger cube, their surface will be painted on 4 sides and 2 sides will have to be painted but for surfaces not along the common edges, only 3 surface will be painted black and rest 3 surfaces have to be painted again with black colour. Can you please help me visualising and rectify my doubt? Thanks
Same query, I think 3 faces will be visible since we are making the cuts throughout the length, breadth and height
1. COURSE:LOGICAL REASONING LESSON : CUBES Presented By: Chaitanya