A solid cube of side 12 cm is cut into elght cubes of equal valume. What will be the side
of the new cube? Also, find the ratio between their surface areas.
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Step-by-step explanation:
volume of big cube = 12³= 1728cm³
according to the formula,
no of cubes = volume of big cube / volume of small cube
volume of small cubes = volume of big cube/ no. of cubes
= 1728/ 8= 216cm³
side of 1 small cube = cube root 216= 6cm
surface area of bigger cube = 6l² = 6x12²= 6x144= 864cm²
surface of smaller cube = 6x6²= 216cm²
ratio = 864/216= 4:1
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