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4. volume = 216 cm³

Question

  1. volume = 216 cm³

Explanation:

Step1: Recall cube volume formula

The volume $V$ of a cube is $V = s^3$, where $s$ is the side length.

Step2: Substitute given volume

Set $s^3 = 216$

Step3: Solve for side length

Find the cube root of 216: $s = \sqrt[3]{216} = 6$

Step4: Verify the result

Calculate $6^3 = 6 \times 6 \times 6 = 216$, which matches the given volume.

Answer:

The side length $s$ of the cube is $6$ cm.