This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Calculate the volume of each a) Step 1: Identify the side length of the cube. The side length .
Step 2: Use the formula for the volume of a cube, .
Step 3: Calculate the volume. The volume of the cube is .
Find the volume of the cubes a) Step 1: Find the side length of the cube from the given face area. The area of one face . For a cube, each face is a square, so .
Step 2: Use the formula for the volume of a cube, .
Step 3: Calculate the volume. The volume of the cube is .
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Identify the side length of the cube. The side length s = 5 cm.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.