A small cube is cut from a bigger cube. The edge of the bigger cube is thrice the edge of smaller cube.   a. If s represents the edge of the smaller cube, how would you represent the edge of the bigger cube? b. How would you represent the volume of both cubes? c. If the smaller cube is cut, what would be the volume of the remaining material in the bigger cube? Express this as product of two factors and explain how you arrived at these fact

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A small cube is cut from a bigger cube. The edge of the bigger cube is thrice the edge of smaller cube.

 

a. If s represents the edge of the smaller cube, how would you represent the edge of the bigger cube?

b. How would you represent the volume of both cubes?

c. If the smaller cube is cut, what would be the volume of the remaining material in the bigger cube? Express this as product of two factors and explain how you arrived at these factors. 

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