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  • 07-07-2019
  • Mathematics
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A 4cm cube is cut into 1 CM cubes. what is the percentage increase in the surface area after such cutting? ​

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Аноним Аноним
  • 07-07-2019

Answer:

400%.

Step-by-step explanation:

The surface area of a 4 cm cube = 6 * 4^2

= 96 cm^2.

The number of 1 cm cubes that can be cut from the larger cube is :

16 * 4 = 64.

The surface area of each of these smaller cubes is 6*1 = 6 cm^2.

The increase in surface area  is a factor of  (6*64) / 96

= 4 = 400%.

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