The surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²
Area of a Pyramid
From the question, we are to calculate the surface area of the regular pyramid
The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base
∴ Surface area of the pyramid = [tex]4(\frac{1}{2}bh)+ b^{2}[/tex]
Surface area of the pyramid = 2bh + b²
Where b is the base
and h is the perpendicular height of each triangular faces
In the given diagram,
b = 7
h = 10
∴ Surface area of the pyramid = 2×7×10 + 7²
Surface area of the pyramid = 140 + 49
Surface area of the pyramid = 189 units²
Hence, the surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²
Learn more on Calculating area of Pyramid here: https://brainly.com/question/22744289
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