By what percentage will the volume of the cube increase if each edge is increased by 10%?

Let’s denote the side of the cube as A.
Then the volume of the cube is V = A * A * A = A ^ 3.
Increase A by 10%: A + 0.1A = 1.1 * A
Let’s calculate the volume of the new cube:
(1,1) ^ 3 * A ^ 3 = 1.331 * A ^ 3
Consequently, the volume of the enlarged cube increased by 33.1%.
Interestingly, increasing the side of the cube by 20% gives an increase of 72.8%, and by 30% increases the cube more than twice.



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