Sure, let's break down this problem:
First, we need to understand that one liter of water is equivalent to 1,000 cubic centimeters (cm³). So, the volume of water that the aquarium holds, which is 44 liters, would equate to 44,000 cm³.
Now, the volume of the rectangular is given by the formula length * width * height = volume.
However, for the given problem, the length and width are the same (we are assuming the base to be a square), and we will refer to them as side (s). So, this transforms our volume formula to s² * height = volume.
Given the volume (44,000 cm³) and the height (50 cm), we can solve for side by rearranging the formula to: s= √(Volume/height).
Plugging the numbers into the equation gives us side = √(44,000 cm³ / 50 cm).
After performing the calculation we find that the sides of the base of the aquarium are approximately 29.66 cm (to 2 decimal places).
So the aquarium is approximately 29.66 cm by 29.66 cm in its base, and 50 cm tall.
Please, note that this measurement relies upon the assumption that the aquarium is square in shape and doesn't take into account any possible thickness of the glass structure itself.