A cube of side length 12 cm is cut into 8 cubes of equal volume. Calculate the size of the new cube
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Answer:
6cm
Step-by-step explanation:
Side of a large cube(a) = 12cm
volume of the cube = (12³)cm³
=> 1728 cm³
eight 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 = 6cm
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