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The answer is 64, if it is incorrect than the answer is the next one below.

Volume is a three-dimensional scalar quantity. The volume of box2 is 512 times greater than the volume of box 1.

How to find the volume of a cube?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

Let the length of the side of box 1 be represented by x. Therefore, the dimension of box 2 will be 8x. The volume of the box(Cube) is the cube of the length of the side. Therefore, The ratio of the volumes of the boxes can be written as,

(Volume of the box 1)/(Volume of the box 2) = x³/(8x)³

(Volume of the box 1)/(Volume of the box 2) = x³/ 512x³

(Volume of the box 1)/(Volume of the box 2) = 1/512

Volume of box2 = 512 × Volume of box 1.

Hence, the volume of box2 is 512 times greater than the volume of box 1.

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