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)
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