Question

What is the volume of the triangular prism to the nearest whole unit?

Answer 1

Answer:
`V=588\ ft^3`

Explanation:

You need to use the following formula to calculate the volume of Triangular prism:

`V=ah`

Where "a" is the area of one triangular base and "h" is the height of the triangular prism.

Calculate "a" with this formula:

`a=(bH)/(2)`

Where "b" is the base of the triangle and "H" is the height.

In this case:

`b=14\ ft\\H=4\ ft`

Then, substituting values, you get that the area is the following:

`a=((14\ ft)(4\ ft))/(2)\\\\a=28\ ft^2`

Finally, you must substitute values into the formula for calculate the volume of the triangular prism, and you also must substitute
`h=21\ ft`, which is its height:

`V=(28\ ft^2)(21\ ft)\\\\V=588\ ft^3`