The Side Of A Cube Are Doubled In Length.What Is The Percentage Increase In The Volume Of The New Cube From The Original Cube?

The side of a cube are doubled in length.what is the percentage increase in the volume of the new cube from the original cube?

 

Answer:

The percentage increase in 700%.

Step-by-step explanation:

Volume of a cube = s³

Where s = side

New volume of cube when side is doubled:

Volume = (2s)³

volume = 8s³

Find the increase:

8s³ - s³ = 7s³

7 represents  the change or increase in volume.

Convert to percent:

7 × 100 = 700%

The percentage increase in 700%.

Check with example:

Original side: 2 units

Volume = (2 units)³

Volume = 8 units³

When side is doubled:

Side = 2(2) or 4

Volume = (4s units)³

Volume = 64 units³

Change in volume or increase:

64s³ - 8s³ = 56s³

Rate in Percent:

(56s³/8s³) × 100

= 7 × 100

= 700%  (True)