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The surface area of the square pyramid is 360 in²
Explanation:
Given that the side length is 10 inches.
The height of the pyramid is 12 inches.
We need to determine the surface area of the pyramid.
The surface area of the pyramid is given by
Where s is the side length and l is the slant height.
The slant height can be determined using the formula,
where h = 12 and
Substituting these values in the formula, we get,
Thus, the slant height is
Now, we shall find the surface area of the pyramid.
Substituting and
in the formula
, we get,
Thus, the surface area of the square pyramid is 360 in²