1 Answer

Sunshinator · Answer 1 · 2023-05-11T18:54:49+0000

Answer:

800

Explanation:

The surface area of a pyramid is the sum of the areas all faces.

The triangles are congruent, with bases 16 inches and heights 17 inches, so the area of each triangle is

$16\cdot 17\cdot (1)/(2)=136~\text{in}^2.$

Since there are four triangles, the combined area of them is

$136\cdot 4=544~ \text{in}^2$ .

The area of the square base is
$16\cdot16=256~\text{in}^2$ , so the total area of all faces is
$544+256=\boxed{800~\text{in}^2}$ .

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