Respuesta :

Answer:  906 in^3.

Step-by-step explanation:

The volume of a triangular pyramid is the area of the base multiplied by the height divided by 3.

First, we can start by finding the area of the base.

The area of the base is equal to 19*13/2

= 123.5 in^2

Next, we plug in the formula.

So the volume = 123.5*22/3 in^3

= 905.666 repeated in ^3

Rounded to the nearest whole number is 906 in^3.

Check the picture below.

so the base of the pyramid is just a triangle with a base of 19 and an altitude of 13, and the pyramid has a height of 22.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(19)(13)\\\\ h=22 \end{cases}\implies \begin{array}{llll} V=\cfrac{1}{3}\left[ \cfrac{1}{2}(19)(13) \right](22) \\\\\\ V=\cfrac{2717}{3}\implies V\approx 906~in^3 \end{array}[/tex]

Ver imagen jdoe0001

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