Question

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

Answer 1

Answer: $V=588\ ft^3$

Step-by-step 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:

$a=\frac{bH}{2}$

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:

$a=\frac{(14\ ft)(4\ ft)}{2}\\\\a=28\ ft^2$

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:

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