Question

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

Answer 1

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}`