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Question

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


A

484 cm2

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B

384 cm2

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C

262 cm2

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D

460 cm2

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Solution

The correct option is B

384 cm2


Side of original cube = 4 cm.

Number of cubes of side 1 cm
=Volume of bigger cubeVolume of smaller cube
=4×4×41×1×1
=64

Now, surface area of one cube
= 6(side)2
= 6×(1)2
= 6×1
= 6 cm2

surface area of 64 cubes
=6×64 cm2
=384 cm2

Hence, total surface area of all the small cubes is 384 cm2.


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