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Question

How many small cubes, each of 96cm2 surface area can be formed from the material obtained by melting a larger cube of 384cm2 surface area ?

A
80
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B
5
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C
800
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D
8
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Solution

The correct option is A 8
Let the side of a bigger cube be acm and that of smaller cube be bcm.
Area of bigger cube=6a2=384cm2 ...Given
a=8cm
Area of smaller cube=6b2=96cm2 ...Given
b=4cm
Number of cubes=Volume of bigger cubeVolume of smaller cube
Number of cubes=8×8×84×4×4=8

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