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A contractor is excavating a ramp into a trench for a construction project. how much dirt will the crew have to remove? to answer, find the volume of the triangular prism in the figure shown.

A Contractor Is Excavating A Ramp Into A Trench For A Construction Project How Much Dirt Will The Crew Have To Remove To Answer Find The Volume Of The Triangula class=

Sagot :

The volume of a triangular prism is equal to the half of the product between the height of the triangle, its base and, length of the prism:

[tex]V=\frac{1}{2}(b\cdot h\cdot l)[/tex]

For the given prism

The base of the triangle is b=6ft

The height of the triangle is h=8ft

And the length of the prism is l=4ft

So you can calculate its volume as:

[tex]\begin{gathered} V=\frac{1}{2}(6\cdot8\cdot4) \\ V=\frac{1}{2}\cdot192 \\ V=96ft^3 \end{gathered}[/tex]

The volume of the triangular prism is 96ft³

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