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24 May, 12:15

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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  1. 24 May, 12:25
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    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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