A cube of side 6m is cut into a number of cubes each of side 2cm the number of cubes formed are
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let the no. of cubes =x
volume of larger cube=6×6×6=216
volume of smaller cube=2×2×2=8
volume of larger cube = volume of all smaller cubes
216=8x
x=216/8=27
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Answer:
Total number of cubes formed is 27
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To find:
Number of cubes which can be formed from a cube of side 6 cm
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Solution:
Side of the cube before cutting it into pieces = 6 cm
Volume =6³ = 216
Side of the each small cube formed from the 6 cm cube = 2 cm
Volume = 2³ =8
Let us assume that the number of cubes is N.
As there is no wastage ,
Volume of bigger volume is equal to volume of smaller cubes
216 = N × 8
N= 216 / 8 = 27
Therefore, Number of cubes formed from the bigger cube is 27
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