Which expressions represents the surface area of the regular square pyramid shown? Select all that apply.
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Answer: options A is correct.
Step-by-step explanation:
The formula for determining the surface area of a pyramid is expressed as
Surface area = base area + perimeter/2 × slant height
From the given diagram, the base is a square. Perimeter of the square base is t.
Length of each side of the square base is t/4. Therefore, base area = (t/4)² = t²/16
The slant height is l.
Therefore,
Surface area = t²/16 + t/2 × l
Surface area = t²/16 + tl/2
Surface area = t/2(t/8 + l)