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Examples of Volume of a Triangular Prism

Volume of a Triangular Prism

Post by natttt
Posted on 2011-01-21 18:12:08
The volume of a triangular prism can be found by the formula:

Vol = 1/2 * length * width * height.

One example:

The cross-section of a prism is a horizontal triangle whose sides are 6 cm, 8 cm and 10 cm. The vertical height of the triangular prism is 12 cm. Calculate the volume of the prism.

The solution is:

In triangle ABC: 8² + 6² = 64 + 36 = 100 = 10²
By the converse of Pythagoras" Theorem

Vol = 1/2 bhl
Vol = 1/2 * 8 * 6 * 12 = 288 cm³

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