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They are not except trivially. They are both geometric concepts, they both have an even number of letters of which every odd one is a consonant and the even ones are vowels, they both end in the letter "e".

The area of the base is a two-dimensional measure whereas volume is a three dimensional concept.

Two objects with the same base area can have totally different volumes - even if they have the same height. Consider, for example a cone and a cylinder with the same circular base.

Conversely, two shapes with the same volume can have totally different base area. Just consider a brick that is turned around so that a different face becomes its base.

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Q: How are the area of the base and volume similar?
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