rentaylor3 rentaylor3

24-09-2018
Mathematics

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A cube with a side length 4p is stacked on another cube with side length 2q^2 what is the total volume of the cubes factored form?

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altavistard altavistard

24-09-2018

Volume of first cube is (4p)^3 = 64 p^3.

Volume of second cube is (2q^2)^3 = 8q^6.

The total volume of the 2 cubes is thus 64 p^3 + 8 q^6, or 8(8p^3 + q^6).

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