Question

If The side of a cube is doubled then find the increase in its volume.


Answer me

Answer 1

Answer:

700%

Step-by-step explanation:

Let the side of the cube be x

Volume of cube = Side^3Side

3

= x^3x

3

Now each side of cube is doubled

New side = 2x

So, Volume of cube = Side^3Side

3

= (2x)^3(2x)

3

= 8x^38x

3

So, percentage increase in volume =\frac{\text{change in volume}}{\text{Original volume}} \times 100

Original volume

change in volume

×100

So, percentage increase in volume =\frac{8x^3-x^3}{x^3} \times 100

x

3

8x

3

−x

3

×100

=\frac{7x^3}{x^3} \times 100

x

3

7x

3

×100

=700700

Hence the percentage increase in its volume is 700%

Step-by-step explanation:

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