The Volume of a Prism
Given a prism of a base area of value B and height H, the volume can be calculated as follows:
[tex]V=B\cdot H[/tex]We are given a triangular prism with an equilateral triangular base. The base has an edge of 8 cm and a height of 6.9 cm.
The area of a triangle of a base b and height h is:
[tex]B=\frac{b\mathrm{}h}{2}=\frac{8\cdot6.9}{2}=27.6\operatorname{cm}^2[/tex]Now calculate the volume:
[tex]\begin{gathered} V=27.6\cdot10 \\ V=276\operatorname{cm}^3 \end{gathered}[/tex]