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.