HETAV PATEL

Grade 11,

if a cube is cut into n identical pieces .if it can be done so in only one way ,then which of the following could be the value of n?

if a cube is cut into n  identical pieces .if it can be done so in only one way ,then which of the following could be the value of n?

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question

Let the bigger cube volume to be V.
Lets say it is divided into ‘n’ small cubes of each of the volume ‘v’.
Then, applying the conservation principle of volume.
Since no mass is losing,
so final volume before & after the breakage should be same.
V = nv
n = \frac{V}{v}

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