Given:
The sides of an equilateral triangle base are 10 yds. The height of the prism is 29 yds.
To find:
The volume of the prism.
Solution:
The formula of the volume of the triangular prism is given by:

It is known that the area of the equilateral triangle is given by:
![A=\frac{\sqrt[]{3}}{4}(side)^2](https://img.qammunity.org/2023/formulas/mathematics/college/q1n5ft6xlvt6ydp2t2mv0voq3ojiiw99bh.png)
So, the area of the base of the triangular prism is:
![\begin{gathered} A=\frac{\sqrt[]{3}}{4}(10)^2 \\ =(1.732)/(4)*100 \\ =(173.2)/(4) \\ =43.30 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/h2gzliu5vie5l0n9aeylvrfppgc6nm375j.png)
Now, the volume of the given triangular prism is:
