Bissoy.com
Doctors Medicines MCQs Q&A

Two opposite sides of a cube are painted red. On the remaining four sides, two adjacent sides are coloured green and the remaining two are blue. Two cuts are made in each of X, Y and the Z axis. Assume the inner faces of the cubes are white in colour. How many cubes have more than 3 white faces?

Two opposite sides of a cube are painted red. On the remaining four sides, two adjacent sides are coloured green and the remaining two are blue. Two cuts are made in each of X, Y and the Z axis. Assume the inner faces of the cubes are white in colour. How many cubes have more than 3 white faces? Correct Answer 19

[ alt="Cubes and dices coloured dices Manikandan L 01Mar2019 10Q translated(1) rev 2" src="//storage.googleapis.com/tb-img/production/19/04/Cubes%20and%20dices_coloured%20dices_Manikandan%20L_01Mar2019_10Q%20translated%281%29_rev%202.PNG" style="width: 257px; height: 161px;">

2 cut in each direction means the cube is made to 33 small cubes. Hence there are 27 small cubes out of which the corners have 3 white sides and the edges with 4 white sides and centre cubes with 5 white sides.

Therefore, cubes with >3 white side = 27 – 8 = 19.

Related Questions

A big solid cube is painted with red colour on two opposite faces, yellow colour on two adjacent faces and green colour on remaining two faces. Now 3 cuts are made on each axis of this cube and then some small cubes are obtained. How many small cubes will have one face painted with red colour and one face painted with yellow colour?
Two opposite sides of a cube are painted red. On the remaining four sides, two adjacent sides are coloured green and the remaining two are blue. Two cuts are made in each of X, Y and the Z axis. Assume the inner faces of the cubes are white in colour. How many cubes have at least 1 green side?
A cube of side 6 cm is painted with blue colour and cut into small cubes of side 1 cm, the small cubes which has no painted side is painted with red colour. And the remaining areas of remaining small cubes are painted with green colour. Find the ratio of blue painted, red painted and green painted area.
Two opposite faces of a large cube are painted red, two adjacent faces are painted yellow and the rest of the faces are painted blue. On each axis of this big cube, 4 equal cuts have been made and some smaller cubes have been obtained. How many such small cubes will be there in which one face is painted blue and one is painted yellow?
The question below consists of a question and two statements. You have to decide whether the data provided in the statements are sufficient to answer the question and based on this give answer. Six arrows of different colours – Red, Green, Pink, Blue, White and Black are placed around a circular table facing the centre. Question: Which colour’s arrow is placed to the immediate left of black coloured arrow? Statements: I. Green coloured arrow is placed opposite to the white coloured arrow which is to the immediate left of pink coloured arrow. II. Red coloured arrow is placed opposite to blue coloured arrow and is placed adjacent to white coloured arrow.
Six towels are kept one on top of the other. Red coloured is just above white coloured. The yellow coloured is between blue coloured and green coloured. Pink coloured is between red coloured and blue coloured. Which towel is between the pink coloured and yellow coloured towels?
Six friends B1, B2, B3, B4, B5 and B6 are playing a game. Each of them likes one colour among red, yellow, black, white, green and blue. Each of them like one tie among T1, T2, T3, T4, T5 and T6. None of them likes the same colour and None of them likes same tie. One who likes T3 also likes yellow colour. One who likes T5 also likes red colour. B1 don’t like red colour. B6 likes T2 tie and black colour. B2 likes either white colour or green colour. B4 likes T1 tie. One who likes green colour also likes T4 tie. Either B1 or B5 likes T4 tie. B5 like either yellow colour or red colour. If B3 likes T3 tie, then which of the following combination of Tie – Colour – Friend is not correct?
The pairs of opposite faces of a large cube are painted red, yellow and blue. Now 3 equal cuts are made on each side of this cube and some smaller cubes have been obtained. How many such small cubes will be there in which one face is painted yellow, one face is painted red or blue and all other faces are not painted?
A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted ?
A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
Two faces measuring 4 cm x 1 cm are coloured in black.
Two faces measuring 6 cm x 1 cm are coloured in red.
Two faces measuring 6 cm x 4 cm are coloured in green.
The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). How many cubes will have green colour on two sides and rest of the four sides having no colour ?