Question

- how do changes in dimensions affect the volume of common geometric solids?

Answer 1

Changes in the dimensions of a geometric solid also causes a change in the volume.
For example consider a cuboid;
Volume = length × width × height
If a dimension of either, the length, the width and the height is increased then the volume will also increase, and vicevarsa. 

Answer 2

Step-by-step explanation:

Consider the provided information.

Changes in dimensions affect the perimeter, area, and volume of common geometric.

Let us understand this with the help of an example:

The original box had a  length of 8 inches, width of 6 inches, and a height of 4 inches. The designers of the new box decided to double all the dimensions. Now find the change in volume of the new box.

Volume of a box is: L×B×H

8×6×4 = 192 inches³

Now double all the dimensions

Dimension of new box:

Length = 8×2 = 16 inches

Width = 6×2 = 12 inches

Height = 4×2 = 8 inches

Volume of new box is:

16×12×8 = 1536 inches³

Now find the change in volume of new box:

1536÷192 = 8

The new box is 8 times larger then the original box.

The change in dimension affect the volume of common geometric solids.

If dimension increased then volume will increase if dimension decreases then volume will decrease.