Respuesta :

Answer:

322.5 in²

Step-by-step explanation:

1 base triangle + 3 top triangles

(½×15×13) + 3(½×10×15)

322.5

The surface area of the regular pyramid 322.5 [tex]inch^{2}[/tex]

What is Surface Area of regular prism?

The surface area of a pyramid is a measure of the total area that is occupied by all its faces.

Surface Area= [tex]\frac{1}{2} * base\; area + \frac{3}{2} * base\; length* height[/tex]

The Surface area of Triangular based pyramid is:

Surface Area= [tex]\frac{1}{2} * base\; area + \frac{3}{2} * base\; length* height[/tex]

                     = 0.5 x 15 x 13 + 1.5 x 15 x 10

                     = 97.5 + 225

                     = 322.5 [tex]inch^{2}[/tex]

Hence, the surface area of the regular prism be : 322.5 [tex]inch^{2}[/tex]

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