A 4cm edge cube is cut into small cube each of edge 1cm.calculate the total surface area of small cube.Also find the ratio of total surface of large cube to that of the small cube.
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Answered by
63
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
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
Answered by
5
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*1cm²=6 cm²
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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