1 Answer

Kyuuji · Answer 1 · 2023-08-08T23:20:47+0000

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:

$V=B\cdot H$

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:

$B=\frac{b\mathrm{}h}{2}=(8\cdot6.9)/(2)=27.6\operatorname{cm}^2$

Now calculate the volume:

$\begin{gathered} V=27.6\cdot10 \\ V=276\operatorname{cm}^3 \end{gathered}$

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