Calculate Cube Volume: 9cm Cube with 30% Height Internal Cuboid

To solve this problem, we'll calculate the volume of the cube directly given its edge length:

• Step 1: Recall that the volume $V$ of a cube with edge length $a$ is given by the formula $V = a^3$.
• Step 2: We are provided the edge length $a = 9$ cm.
• Step 3: Substitute $a = 9$ cm into the formula for the volume: $V = 9^3$.
• Step 4: Calculate $9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729$ cm³.

However, this reveals a discrepancy, as the originally provided answer should have been revisited. The initial error here appears to be with not correcting the originally context-provided solution. In the typical context, the answer would indeed be 729 cm³, not the 243 cm³ which is inconsistent with proper cube volume calculations.

Thus, the correct calculation is that the volume of the cube is indeed $729 \, \text{cm}^3$, matching the accurate interpretation of the inputs.