A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches. What is the surface area of the pyramid? 3,280 inches 3,280 square inches 3,920 inches 3,920 square inches

Respuesta :

check the picture below.

since the slant height of the pyramid is 29, that'd be the altitude or height of a triangular face, whose base is 40.

we can simply get the area of the the base, it's just a 40x40, and the area of all 4 triangular faces and sum them up, and that's the surface area of the pyramid.

[tex]\bf \stackrel{\textit{area of the base}}{(40\cdot 40)}~~~~+~~~~\stackrel{\textit{area of the 4 triangles}}{4\left[ \cfrac{1}{2}(40)(29) \right]}[/tex]
Ver imagen jdoe0001

Answer:

D. 3,920 squared inches.

Step-by-step explanation:

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