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Surface area of a square pyramid with measures of 19, 19, 12

Surface area of a square pyramid with measures of 19, 19, 12-example-1
User MarkWanka
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ANSWER:

C. 817 ft^2

Explanation:

To calculate the surface area of the pyramid, we must calculate the area for each face.

In total there are 5 faces, there are 4 equal triangles and the area of the base, the sum would be the value of the surface area, therefore:

area of the triangle


A_t=(b\cdot h)/(2)=(19\cdot12)/(2)=114

area of the base:


A_b=l\cdot w=19\cdot19=361

area of the square pyramid:


\begin{gathered} A_p=4\cdot A_t+A_b=4\cdot114+361 \\ A_p=817 \end{gathered}

Surface area of a square pyramid with measures of 19, 19, 12-example-1
User Grant Singleton
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