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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.
A cube of volume 64 cm3 is is cut into two smaller and identical cuboids. The faces of dimensions 4 × 4 of one of the cuboids are painted with black color and the rest of its faces are painted with yellow color. One pair of adjacent faces that do not include any face of dimensions 4 × 4 of the other cuboid are painted with yellow color and the rest of its faces are painted with black color. Now each of two cuboids are cut into 32 smaller and identical cubes. How many of the smaller cubes have exactly three colored faces?
Some small cubes of same height 7 cm but variable length and width are put inside a large cuboid of height 21 cm. Length and width of cuboid is 32 cm and 24 cm, respectively. Small cubes are put such that cubes at the bottom most layer is of similar base area; second layer contains all the cubes of similar base area and third layer have all the cubes of similar base area. Which of the following statement(s) given below is / are TRUE? A: If side of each small cubes at bottom most layer is 8 cm, then maximum number of small cubes that can be put at bottom most layer is 12. B: If maximum of 48 cubes can be put at second layer, then side of each cube at second layer is 6 cm. C: If side of each small cubes at third layer is 1.6 cm, then maximum number of small cubes that can be put at third layer is 300.
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 ?
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?
A cube of side 8 cm is painted red on all the sides. It is then cut into smaller cubes, each of side 2 cm. How many of these smaller cubes have one or more sides painted red?
The accompanying image shows a large cube made of dark and white small sugar cubes. Small cubes of the diagonally arranged row of the bottom surface of the large cube, small cubes of the row with one face on the right-hand surface of the large cube, small cubes of the row with one face on the front surface of the large cube, and small cubes of the column with one face on the top of large cube surface are all dark. Select the number of small white cubes of the large cube.
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?
The six faces of a solid cube have been painted in different colours. The top of the cube is painted Red and the bottom is painted White. The rest of the four faces have been painted Yellow, Blue, Green and Pink, respectively in clockwise direction. The cube is now turned in such a manner that Blue face is at the top. What will be the colour of the bottom face?
A cube of 3" × 3" × 3" inch size was painted on all six sides and then cut into 27 smaller cubes of 1 inch size. How many smaller cubes will have only two sides painted ?