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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? ​

User Tremel
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1 Answer

3 votes

Answer:

400%.

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%.

User Beaux
by
8.0k points