Respuesta :

Answer:

249.6 sq. in.

Explanation:

In this question, we need to find the surface area of the triangular pyramid in order to calculate how many square inches are needed to cover it. The formula for the surface area of a triangular pyramid is the following

[tex]\frac{1}{2}[/tex](a × b) + [tex]\frac{3}{2}[/tex](b × s)

We can say that the values provided represent the following variables.

a = 12in

b = 10.4in

s = 12in

[tex]\frac{1}{2}[/tex](12 × 10.4) + [tex]\frac{3}{2}[/tex](10.4 × 12)

[tex]\frac{1}{2}[/tex](124.8) + [tex]\frac{3}{2}[/tex](124.8)

62.4 + 187.2

249.6 sq. in.

Finally, we can say that it would take 249.6 sq. in. in order to cover the triangular pyramid.