a metal cuboid of dimensions 49m,22m and 14m is melted and cast into 7 identical cylinders of radius 7m. these cylinders are again melted and cast into cubes such that the side of each cube is equal to the half of the height of each cylinder. the number of cubes thus formed is________.
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Total number of cubes formed is 44.
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dimensions of the metal cuboid = 49m x 22m x 14m
radius of each cylinder = 7m
height of each cylinder = 14m
volume of each cylinder = (22/7) * r² * h = (22/7) * 49 * 14 = 2156m³
volume of 7 cylinders = (2156*7)m³ = 15092m³
each side of the new cube = (h/2)m = 7m
volume of each cube = s³ = 343m³
No of cubes which can be formed = 15092m³ ÷ 343m³ = 44 cubes
answer = 44 cubes are formed
radius of each cylinder = 7m
height of each cylinder = 14m
volume of each cylinder = (22/7) * r² * h = (22/7) * 49 * 14 = 2156m³
volume of 7 cylinders = (2156*7)m³ = 15092m³
each side of the new cube = (h/2)m = 7m
volume of each cube = s³ = 343m³
No of cubes which can be formed = 15092m³ ÷ 343m³ = 44 cubes
answer = 44 cubes are formed
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