Answer:
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Explanation:
To calculate the surface area of a regular pyramid, we need to consider the base area and the lateral faces.
Given that the base area is 16 cm^2, we can find the dimensions of the base by taking the square root of the base area. Since it is a regular pyramid, the base is a square. Therefore, the side length of the base is √16 = 4 cm.
The lateral faces of a regular pyramid are congruent triangles. To calculate their area, we need to find the slant height. In a regular pyramid, the slant height can be found using the Pythagorean theorem.
In this case, the height of the pyramid is unknown, so we cannot directly calculate the slant height. Without additional information about the height or the angle of the pyramid, we cannot determine the exact surface area.
However, if we assume that the pyramid is isosceles and the height is equal to the slant height, we can calculate an approximate surface area. In this case, the slant height would be equal to the height.
Using the formula for the lateral area of a pyramid, which is (1/2) × base × slant height, we can calculate the lateral area. Since the base is a square with side length 4 cm, the lateral area would be (1/2) × 4 cm × slant height.
Without further information about the height or the angle of the pyramid, we cannot provide an exact surface area.