How will the volume of a rectangular parallelepiped change if each dimension is doubled?

Let the edges of the parallelepiped be equal to a, b, c. Find the volume of this parallelepiped by multiplying its sides:

V = abc

Accordingly, the enlarged faces of the parallelepiped will be: 2a, 2b and 2c. Let’s calculate its volume:

V ‘= 2a * 2b * 2c = 8abc.

Let’s find the ratio of the volumes of these two parallelepipeds:

V ‘/ V = 8abc / abc = 8 times the volume of the parallelepiped will change.

Answer: the volume of the parallelepiped will increase by 8 times.