Question #6ac85

1 Answer
Ricardo A.
Aug 11, 2017

27

Explanation:

The simplest way to think about this is with cubes.

Think of a cube with side 1 (foot, mile, centimeter, kilometer, the unit doesn't matter). Volume is calculated by multiplying length times width times height.

#V=L*W*H#

or, in particular for a cube"

#V=S^3#

All the sides of a cube are equal, so with each measurement equaling 1 the resulting volume is 1.

Now if we increase each of the sides to three the equation suddenly becomes:

#V=3^3=27#

This will be true for any three dimensional object. If you triple the dimensions you will get 27 times the original volume.

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