A cube of side 1 cm is broken into smaller cubes of side 4 nm. What is the gain in surface area after the large cube is broken down into smaller pieces?
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Vol. of 4cm cube =(4)3cm3 =64cm3
Vol. of 1cm cube =(1)3cm3 =1cm3
Total no. of 1cm cubes =Vol. of 1 cm cubeVol.of 4 cm cube
=164
=64
Surface area of 1 cube =6(side)2cm2
Surface area of 1 cube =6(1)2cm2
Surface area of 1 cube =6cm2
Total surface area of all small cubes =64×6cm2
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