Building with Snap Cubes

Use the 32 snap cubes in the applet’s hidden stack to build the largest single cube you can. Each small cube has side length of 1 unit.[br][br]In addition try to answer the questions below the applet.
How many snap cubes did you use?
What is the side length of the cube you built?[br]
What is the area of each face of the built cube? Show your reasoning.[br]
What is the volume of the built cube? Show your reasoning.[br]
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Information: Building with Snap Cubes