A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to half of their original size, what will be the new volume of the rectangular solid?

4dm³

Step-by-step explanation:

Given data

Volume of rectangle = 24 dm³

Let the length width and height be l, w and h respectively

We know that the volume of the rectangle

V = lwh = 24

Now reducing length width and height by half we have

Length = l/2,

Width = w/2

Height = h/2

The new volume is

l/2*w/2*h/2 = lwh/6

But l*w*h = 24

24/6 = 4dm³