A triangular pyramid has a height of 18 yards and a base with an area of 330 square yards. What is the volume of the pyramid?

A. 660 yd
B. 2,970 yd
C. 1,980 yd
D. 5,940 yd

Respuesta :

Answer:

option C. [tex]V=1,980\ yd^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

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

where

B is the area of the triangular base

h is the height of the pyramid

In this problem we have

[tex]B=330\ yd^{2}[/tex]

[tex]h=18\ yd[/tex]

substitute in the formula

[tex]V=\frac{1}{3}(330)(18)=1,980\ yd^{3}[/tex]