Calculate Cube Volume: Finding V = s³ for a 5cm Edge

To solve this problem, we'll calculate the volume of the cube using the formula for the volume of a cube, which is $V = a^3$, where $a$ is the length of an edge.

Step-by-step solution:

• Step 1: Identify the given length of the cube's edge. Here, $a = 5$ cm.
• Step 2: Apply the formula for the volume of a cube: $V = a^3$.
• Step 3: Substitute the value of $a$ into the formula: $V = 5^3$.
• Step 4: Calculate $5^3$. Since $5 \times 5 = 25$ and $25 \times 5 = 125$, we get $5^3 = 125$.

Therefore, the volume of the cube is $125$ cm$^3$.

Looking at the answer choices, the correct answer is choice 2: $125$ cm$^3$.