# Right Triangular Pyramid

Written by Jerry Ratzlaff on . Posted in Solid Geometry

• Right triangular prism (a three-dimensional figure) has a triangle base and the apex alligned above the center of the base.
• 1 base
• 6 edges
• 3 faces
• 4 vertexs

## formulas that use surface area of a Right Triangular Pyramid

 $$\large{ A_s = \frac{1}{2} \; \left(h_b\;a\right) + \frac{3}{2} \; \left(a\;h_s\right) }$$

### Where:

$$\large{ A_s }$$ = surface area

$$\large{ a }$$ = edge

$$\large{ h_b }$$ = height base

$$\large{ h_s }$$ = height side

## formulas that use Volume of a Right Triangular Pyramid

 $$\large{ V=\frac{1}{6}\; h_b\;a\;h }$$ $$\large{ V=\frac{1}{3}\; A_b\;h }$$

### Where:

$$\large{ V }$$ = volume

$$\large{ A_b }$$ = base area

$$\large{ a }$$ = edge

$$\large{ h }$$ = height

$$\large{ h_b }$$ = height base