Doubling the width has a greater effect on volume.
The volume of a prism is calculated by this formula:
<span>Prism Volume = Area of Base • Height
The </span><span>Area of the Base </span>is calculated by this formula:
area = n * side² / (4*tan(180 / # of sides)
So, we see that doubling the width (the side length) will increase the volume by 4 whereas doubling the height only doubles the volume.
The student does not make an error
If you meant to write
then the statement is true.
As a more concrete example, something like
would be read out as "log base 3 of 81 is equal to 4".