Problema Solution
One dimension of a cube is increased by 1.2, another is decreased by 1.2, and the third is left unchanged. The volume of the new rectangle is 9 less than that of the cube. What was the volume of the cube?
Answer provided by our tutors
let x = the length of the side of the cube, x>0
(x + 1.2)(x - 1.2)x = x^3 - 9
by solving we find
x = 6.25
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V = x^3
V = 6.25^3
V = 244.14
the volume of the cube was 244.14.