By what percentage will the volume of the cube increase if its length is increased by 20%

By what percentage will the volume of the cube increase if its length is increased by 20%, the width is increased by 30%, and the height is reduced by 10%?

We denote by x the length of the edge of this cube. In this case, the volume of this cube will be x ^ 3.
If the length of this cube is increased by 20%, then this edge becomes equal to:
x + (20/100) * x = x + 0.2 * x = 1.2 * x.
If the width of this cube is increased by 30%, then this edge becomes equal to:
x + (30/100) * x = x + 0.3 * x = 1.3 * x.
If the height of this cube is increased by 10%, then this edge becomes equal to:
x + (10/100) * x = x + 0.1 * x = 1.1 * x.
The volume of the resulting rectangular parallelepiped will be:
1.2 * x * 1.3 * x * 1.1 * x = 1.716 * x ^ 3.
Compared to the volume of the cube, the volume of the resulting rectangular parallelepiped will increase by:
100 * (1.716 * x ^ 3 – x ^ 3) / (x ^ 3) = 100 * (0.716 * x ^ 3) / (x ^ 3) = 100 * 0.716 = 71.6%.
Answer: the volume of the cube will increase by 71.6%.