The volume of a square pyramid is given by the formula:
V = (1/3) * B * h
where V is the volume, B is the area of the base, and h is the height.
In this case, we know that the volume V is 84 cubic centimeters and the base is a square with width 6 centimeters. The area of a square is given by the formula:
B = s^2
where s is the length of a side.
In this case, s = 6 centimeters, so B = 6^2 = 36 square centimeters.
Substituting these values into the formula for the volume, we get:
84 = (1/3) * 36 * h
Multiplying both sides by 3 and dividing by 36, we get:
h = 7
Therefore, the height of the paper weight is 7 centimeters.