To find the number of unit cubes needed to fill the box, we need to calculate the volume of the box first.
Since the box is in the shape of a cube, all three edges have the same length of 9 inches.
The volume of a cube is given by the formula V = s^3, where s is the length of one side.
Therefore, the volume of the box is V = 9^3 = 729 cubic inches.
Since each unit cube has a volume of 1 cubic inch, the number of unit cubes needed to fill the box is 729.
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Part 1
A box is in the shape of a cube. The box has edge lengths of 9 in. How many unit cubes are needed to fill the box?
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