The Surface area of the rectangular pyramid is 507 unit². Therefore, Option C is correct.
What is a right rectangular pyramid?
A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.
Given:
The Length of the base rectangle = 13 unit
The Width of the base rectangle = 13 unit
The Height of triangle on the side of pyramid = 13 unit
The Length of the base of the triangle = 13 unit
Now, Surface area of the rectangular pyramid = Area of Base + 4 × Area of triangle on side.
Area of base = length × width = 13 × 13 = 169 unit²
Area of the triangle = 1/2 × base × height = 1/2 × 13 × 13 = 84.5 unit²
Surface Area = 169 + 4 × 84.5 = 169 + 328 = 507 unit²
Therefore, Option C is correct.
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