To find the height of a volume when given the volume and the length of one side of the base, you can use the formula for the volume of a rectangular prism:
\[ V = \text{Base Area} \times \text{Height} \]
Since you mentioned "one side of the base," I will assume you are referring to a square base. The area of the base can be calculated using the formula:
\[ \text{Base Area} = \text{side length} \times \text{side length} \]
Given that the length of one side of the base is 4 units, the area of the base is:
\[ \text{Base Area} = 4 \times 4 = 16 \text{ square units} \]
Now, we can substitute the base area and volume into the volume formula:
\[ 48 = 16 \times \text{Height} \]
To find the height, divide both sides by 16:
\[ \text{Height} = \frac{48}{16} = 3 \text{ units} \]
Thus, the height is \( 3 \) units.