To find the side length of the cube-shaped basin, we can take the cube root of its volume.
The formula for the volume of a cube is V = s^3, where V is the volume and s is the side length.
So, to find the side length (s), we can rearrange the formula to s = ∛V.
Plugging in the given volume of 91.125, we get:
s = ∛91.125
Using a calculator to find the cube root, the side length of the cube-shaped basin is approximately 4.5 units.
A basin of a water fountain is cube shaped and has volume of 91.125
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