The amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
Surface area of a square pyramid = area of the square base + area of the 4 triangular faces = s² + 4(1/2bh).
We are asked to find the amount of wrapping paper that would be needed to wrap the gift box, which is the surface area of the gift box that has a square pyramid shape.
Given the following dimensions of the gift box:
s = 5.2 in.
b = 5.2 in.
h = 6.7 in.
Plug in the values into s² + 4(1/2bh):
Surface area of a square pyramid = 5.2² + 4(1/2 × 5.2 × 6.7).
Surface area of a square pyramid = 96.72 in.²
Therefore, the amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
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