Question

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.

Answer 1

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:

`V=(1)/(2)(b\cdot h\cdot l)`

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:

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

The volume of the triangular prism is 96ft³