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What is the surface area of the regular pyramid given below?
A. 280 units2
B. 329 units2
C. 189 units2
D. 140 units2

What Is The Surface Area Of The Regular Pyramid Given Below A 280 Units2 B 329 Units2 C 189 Units2 D 140 Units2 class=

Sagot :

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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