Question

If a cube is cut by three planes parallel to the faces to yield the maximum number of identical pieces then what is the percentage increase in
the total surface area?
a 50%
b 75%
c 100%
d 20%​

Answer 1

Answer:

It is cut by 3 parralel planes.

And all pieces are identical not just 2,3… I.e maximum no. Of identical pieces.

So we have side length a let's assume. Its cut into 4 parts. Each length a/4. Height and breadth are same as a.

Surface area : 4 times each surface area. I.E

4* 2(lb +BH+hl)

4* 2(a²/4 + a² + a²/4)

8*3a²/2

12a²

And total surface area before was 6a². So it has increased by 100%

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Answer 2

Answer:

C) 100%

Step-by-step explanation:

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