Final answer:
The length of one side of the cube is 3 cm. Therefore, the correct answer is A, s = 3.
Step-by-step explanation:
To determine the length of one side of a cube with a volume of 27 cm³, we need to find the cube root of 27. The cube root of 27 is 3, so the length of one side of the cube is 3 cm. Therefore, the correct answer is A, s = 3.
Now, let's write and solve an equation for the cube:
The volume of a cube is given by the formula
, where
is the length of one side.
For a cube with a volume of

![\[ 27 = s^3 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/rcnregn2ht4onj4n9pr4tl9jdmqlxu8q62.png)
Now, solve for \( s \):
\[ s = 3 \]
So, the correct answer is A.

The equation
is solved by taking the cube root of both sides, resulting in
. This means that each side of the cube is 3 cm long. Therefore, the correct answer is A, s = 3.