This graph relates the volumes of triangular pyramids with a base area of 12 square inches and their heights.
According to the graph, what is the volume of a triangular prism with a base area of 12 square inches and a height of 10 inches?

Respuesta :

Answer:

[tex]V=40\ in^3[/tex]

Step-by-step explanation:

The graph is not attached, however we know that, the volume of a triangular pyramid is given by the formula

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the triangular face

h is the height of the pyramid

we have

[tex]B=12\ in^2\\h=10\ in[/tex]

substitute the given values

[tex]V=\frac{1}{3}(12)(10)=40\ in^3[/tex]