How many cubes of edge 7 cm can be cut out from a cuboid of dimension 21cm35cm55cm.

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Solution

Given the dimnsions of cuboid ,
length = 21 cm
breadth = 35 cm
height = 55 cm
Volume of cuboid = 213555 = 40425 cm^3.

Edge of cube = 7 cm
Volume of cube = 777 = 343 cm^3
Number of cubes that can be cut = volume of cuboid/volume of cube = 40425/343 = 825/7 = 117.85
So, number of cubes that can be cut = 117

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