Question

A cube of side length 12 cm is cut into 8 cubes of equal volume. Calculate the size of the new cube​

Answer 1

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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