Question

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

Answer 1

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.

Step-by-step explanation:

Answer 2

Answer:

let the given no. be X belonging to natural no's.

given that X becomes 2x

let cube of no. be X ^3

let times of it be n

x^3 = n × 2x

n = x^2 / 2

we can verify by taking values of X (natural no's.)

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