# Maximizing Surface Area: Open Middle Cube Problem (V1)

## Drag any LARGE POINT to remove a small white cube from the main cube. Then answer the questions that follow.

## Assuming we don't remove any small cubes from the LARGE CUBE, what is the total surface area of the LARGE CUBE?

Suppose we remove only one cube at a time. Which cube do we need to remove to cause the solid that remains to have the *greatest possible surface area*?

## If we remove the cube you said in the answer above, what is this greatest possible surface area?

For an AR-friendly version of the app above, open this in GeoGebra 3D Calculator on your phone or tablet.