6. A 4 cm edge cube is cut into small cubes each
of edge 1 cm. Calculate the total surface area
of small cubes. Also, find the ratio of total
surface area of large cube to that of the small
cubes.
(2016-AIMHEM; 2015-0E09GGA;
2014-INYONMB)
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Answer:
Surface area of the big cube of 4 cm=6*4² cm²=96 cm²
Volume of the big cube of 4 cm= 4*4*4 cm³.
Area of 1 small cube of 1 cm=1*1*1 cm³
Therefore, no. of cubes =4*4*4/1*1*1
=64.
Surface area of 1 small cube=6*1² cm³=6 cm³
Therefore,
Surface area of 64 small cubes=6*64 cm²=384 cm².
Required ratio:
96 cm²:384 cm²
=1:4
Step-by-step explanation:
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