Question

how many small cubes each of 96 sq.cm surface area can be made from the material obtained by melting a larger cube of 384 sq.cm surface area? ​

Answer 1

Answer: The number of cubes each of 96 sq. cm surface area can be made from the material obtained by melting a larger cube of 384 cmsq surface area is 8

Step-by-step explanation:

Let the side of the larger cube be A cm

Then the surface area of the cube  

According to the question

cm

Volume of the larger cube

cubic cm

Similarly if the side of the smaller cube is a cm

Then

Surface area = 96 sq cm

or,  

or,  

or,  

Threfore, volume of the smaller cube

cubic cm

The number of smaller cubes that can be made by melting the larger cube

Hope this answer is helpful.

Step-by-step explanation: