Book Maths Puzzle Algebra

rectangle formula for area of base : (m-2x)(n-2x)
rectangle formula for area of 4 sides of rectangle: (2m-2x)(2n-2x)
shopkeeper's theory is that when area of base=area of sides t

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Book Other Question

Find three consecutive even integers such that the sum of the square of the smaller two is equal to the square of the largest. How do I solve for x for:
Volume = (.512-2*x)*(.622-2*x)*x = 0.0144144 cubic metres
I know that x=0.1 metres high, where brackets are width and depth resp. but how?