Question

How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?

Answer 1

edge is 2 times as long : volume is 8 times as big, edge is 3 times as long : volume is 27 times as big, edge is 10 times as long: volume is 1000 times as big, edge is n times as long, volume is n^3 times as big.

Since the volume of a cube can be given by V = s^3 where s is the edge length, and V Is the volume of the cube. The change in volume relative to the change of its edge is ∆v/∆s = 3s^2 (derivative).

Answer 2

Answer:

8,27,1000,n^3

Step-by-step explanation:

It is a cube, so all you have to do is take each original length and find that number to the power of 3.