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Question

A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.

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Solution

We can define the following notations as follows

Side of cube

Volume of cube

Side of cube

Volume of cube

Let;

Number of cubes formed

Surface area of a single small cube

We know,

And;

The number of cubes formed,

Total surface area of all the small cubes formed

The total surface area of all the small cubes is .


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