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A solid cube of side 12 cm is cut into 8 identicalcubes. What will be the side of the new cube?Also, find the ratio between the surface areaof the original cube and the total surface areaof all the small cubes formed |
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Answer» Side of a large cube(a) = 12cmvolume of the cube = (12³)cm³=> 1728 cm³eight small cubes of equal volumes are cut from the larger one∴volume of larger cube = 8* volume of one small cube.=>1728 = 8 * volume of small cube=>1728/8 = volume of small cube∴volume of one small cube = 216.then side of the smaller cube =∛216 = 6cmThe ratio of surface area of larger cube and small cube = 864:216 = 4:1 |
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