Answer:
Volume of new cube is [tex]0.512a^3[/tex].
Step-by-step explanation:
Given:
Side length = a
The side lengths are decreased by 20% of the original size.
First we will find the 20% of original size.
20% of original size can be calculate by Multiplying 20 with original size and then dividing it by 100
20% of original size = [tex]\frac{20}{100}\times a = 0.2a[/tex]
Now given side length are decreased by 20% of original size it means we will subtract 20% of original size from original size we get;
New Side length = [tex]a-0.2a= 0.8a[/tex]
Now, We need to find the expression in simplest form for the volume of the new cube in terms of a.
We also know that Volume of cube is calculated by cube of side length.
Here side length is new side length;
Volume of cube = [tex](0.8a)^3[/tex]
Computing in simplest form we get;
Volume of cube = [tex](0.8)^3a^3= 0.512a^3[/tex]
Hence Volume of new cube is [tex]0.512a^3[/tex].
