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a triangular prism has an equilateral triangular base. An edge of the base is 8cm. The height of the triangular base is 6.9 units. The height of the prism is 10 cm. What is the volume of the prism?

User Kama
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1 Answer

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19 votes

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}

User Banyudu
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