1.

If a number is doubled then it's cube is how many times the cube of the given number . Justify your answer

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Answer:

Whenever a three-dimensional shape is made bigger while REMAINING similar to itself, in a way that any characteristic length of it (like the EDGE of a cube, the height of a cylinder, the diameter of a sphere, the perimeter of the base of a cone etc.) is doubled, the volume of the three-dimensional shape is increased 2³ = 8 times.

More GENERALLY, if a characteristic length is ALTERED by a factor k, the volume of the three-dimensional shape is altered by a factor of k³.

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