A cube of side 4cm is cut into cubes of side 1cm. Find the total surface area of all the small cubes.
Answers
Answer:
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
=384cm2
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The surface area of a cube which has a side of 4cm is 6*4^2=6*16 cm^2. Now, when the cube is cut into the smaller cubes with side of 1cm we'll get 4*4*4=64 little cubes and each will have the surface area equal to 6*1^2=6 cm^2, so total surface are of these 64 little cubes will be 6*64 cm^2.
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