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The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of the pyramid?

A468 square inches

B900 square inches

C576 square inches

D1,728 square inches

Verified Answer :

gmany

The surface of the square pyramid is:

one square with a side length of 18 inches

four triangles with a base length of 18 inches and a height of 16 inches.


The area of a square: \(A_\boxed{ }}=18^2=324\ in^2\)


The area of a triangle: \(A_\Delta=\dfrac{18\cdot16}{2}=144\ in^2\)


The surface area of the pyramid is:


\(SA=A_\boxed{ }}+4A_\Delta\\\\SA=324+4\cdot144=900\ in^2\)


Answer: B. 900 square inches.

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