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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.
If the length of a edge of cube X is thrice the length of an edge of cube Y, What is the ration of the volume of cube Y to the volume of cube X?
A large cube is kept on a table. If 5 cuts parallel to the surface are made on the cube without putting one cube over the other, then in how many maximum pieces can the cube be thus broken?
The side of large cube is four times the side of small cube. By what percent is the volume of large cube greater than the volume of small cube?
A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edge of one of the face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 9261 cm3, what is the volume of the cone?
A cone of maximum volume is cut from the cube of total surface area 2646 cm2 is such a way that one face of the cube becomes base of the cone and vertex of the cone touches opposite face of cube, then what will be the volume of remaining volume of cube after cutting the cone from it?
The ratio of volumes of two cubes X and Y is ratio 8 ∶ 3. If the total surface area of cube X is increased by 44% and that of cube Y is decreased by 36%, then what is the ratio of the new volume of the cube X to that of cube Y?
The ratio of the length of diagonal of two cubes is 2 ∶ 3 and the difference between the total surface area of the bigger cube and the lateral surface area of the smaller cube is 342 cm2. Find the total surface area of a statue which is formed by placing the smaller cube upon the bigger cube.
A force is applied on a cube of side 3m. Another force, double the magnitude of the previous force is applied on a cube of 1m. What is the ratio of pressure on the first cube (P) to the pressure on the second cube (P’)?
The following table presents the number of candidates trained by a training centre over 6 years (2001 to 2006). Year Batch 1 Batch 2 Batch 3 Batch 4 Batch 5 2001 75 144 114 102 108 2002 90 126 102 84 126 2003 96 114 75 105 135 2004 105 90 150 90 75 2005 90 75 135 75 90 2006 105 60 165 45 120 The number of candidates trained in Batch 2 in 2001 was what percentage more than the number of candidates trained in Batch 5 in 2005?